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DTSTART;TZID=America/Los_Angeles:20251104T121500
DTEND;TZID=America/Los_Angeles:20251104T131000
DTSTAMP:20260414T190827
CREATED:20250818T205450Z
LAST-MODIFIED:20250824T043204Z
UID:3793-1762258500-1762261800@colleges.claremont.edu
SUMMARY:Classifying possible density degree sets of hyperelliptic curves (Jasmine Camero\, Emory University)
DESCRIPTION:Let $C$ be a nice (smooth\, projective\, geometrically integral) curve over a number field $k$. The single most important geometric invariant of a curve is the genus\, which can control various arithmetic properties of a curve. A celebrated result of Faltings implies that all points on $C$ come in families of bounded degree\, with finitely many exceptions. This result symbolized an advancement in the study of arithmetic information about curves and serves as the guiding philosophy of arithmetic geometry by highlighting the idea that “geometry governs arithmetic.” We explore the behavior of parameterized points and deduce consequences for the arithmetic of hyperelliptic curves\, specifically focusing on classifying the density degree sets of such curves.
URL:https://colleges.claremont.edu/ccms/event/classifying-possible-density-degree-sets-of-hyperelliptic-curves-jasmine-camero-emory-university/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251028T121500
DTEND;TZID=America/Los_Angeles:20251028T131000
DTSTAMP:20260414T190827
CREATED:20250813T050114Z
LAST-MODIFIED:20251023T042930Z
UID:3784-1761653700-1761657000@colleges.claremont.edu
SUMMARY:From sparsity of rational points on curves to the generic positivity of Beilinson-Bloch height (Ziyang Gao\, UCLA)
DESCRIPTION:It is a fundamental question to find rational solutions to a given system of polynomials\, and in modern language this translates into finding rational points in algebraic varieties.  It is already very deep for algebraic curves defined over Q.  An intrinsic natural number associated with the curve\, called its genus\, plays an important role in studying rational points on curves.  In 1983\, Faltings proved the famous Mordell Conjecture (proposed in 1922)\, which asserts that any curve of genus at least 2 has only finitely many rational points.  Thus the problem for curves of genus at least 2 can be divided into several grades: finiteness\, bound\, uniform bound\, effectiveness.  An answer to each grade requires a better understanding of the distribution of the rational points.\n\nIn my talk\, I will explain the historical and recent developments of this problem according to the different grades.  I will also mention a recent work (joint with Shouwu Zhang) about a generic positivity property and a Northcott property of the Beilison-Bloch height of the Gross-Schoen cycles and the Ceresa cycles.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-ziyang-gao-ucla/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251021T121500
DTEND;TZID=America/Los_Angeles:20251021T131000
DTSTAMP:20260414T190827
CREATED:20250807T222137Z
LAST-MODIFIED:20251007T213217Z
UID:3777-1761048900-1761052200@colleges.claremont.edu
SUMMARY:Singularities in characteristic p and the Riemann–Hilbert correspondence (Robert Cass\, CMC)
DESCRIPTION:The Riemann–Hilbert correspondence relates algebra to differential equations on complex algebraic varieties. In characteristic p\, there is an analogous correspondence due to Emerton–Kisin and later generalized by Bhatt–Lurie\, where the derivative operator is replaced by the p-th power Frobenius operator. In this talk we will explain a relation between the mod p Riemann–Hilbert correspondence and the study of singularities of algebraic varieties in characteristic p. This talk is mostly about commutative algebra\, and we will introduce concepts such as local cohomology and perverse sheaves along the way. This is joint work with João Lourenço.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-robert-cass-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251007T121500
DTEND;TZID=America/Los_Angeles:20251007T131000
DTSTAMP:20260414T190827
CREATED:20250828T190015Z
LAST-MODIFIED:20250927T183316Z
UID:3800-1759839300-1759842600@colleges.claremont.edu
SUMMARY:The integer point transform as a complete invariant (Sinai Robins\, University of São Paulo\, Brazil)
DESCRIPTION:Given any finite set of integer points S\, there is an associated function f_S that encodes S\, which we call its integer point transform.   One can think of this integer point transform f_S algebraically or analytically.  Here we focus on its analytic properties\, showing that it is a complete invariant.   In fact\, we prove that it is only necessary to evaluate f_S at one algebraic point in order to uniquely determine the finite set S\, by employing the Lindemann-Weierstrass theorem.    Similarly\, we prove that it’s only necessary to evaluate the Fourier transform of a rational polytope P (as well as rational cones) at a single algebraic point\, in order to uniquely determine S.   Finally\, by relating the integer point transform to finite Fourier transforms\, we show that a finite number of integer point evaluations of f_S suffice in order to uniquely determine S.  
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sinai-robins-university-of-sao-paulo-brazil/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250930T121500
DTEND;TZID=America/Los_Angeles:20250930T131000
DTSTAMP:20260414T190827
CREATED:20250927T185625Z
LAST-MODIFIED:20250927T185625Z
UID:3874-1759234500-1759237800@colleges.claremont.edu
SUMMARY:Algebraic lattices and Pisot polynomials (Lenny Fukshansky\, CMC)
DESCRIPTION:A Z-module M in a number field K gives rise to a lattice in the corresponding Euclidean space via Minkowski embedding. Such lattices often carry inherited structure from the number field in question and can be attractive from both\, theoretical and applied perspectives. We consider this construction when M is spanned by the set of roots of an irreducible polynomial f(x) of prime degree n. In this case\, the resulting lattice has rank n or n-1 and includes the Galois group of f(x) as a subgroup of its automorphism group. Of particular interest is the case of Pisot polynomials\, i.e.\, polynomials with one positive real root and the rest of the roots in the unit circle. We construct infinite families of such polynomials of any prime degree for which the resulting lattices have bases of minimal vectors\, a property of interest in coding theory and cryptography applications. In case of the Galois group being cyclic\, A_n\, or S_n we derive formulas for the determinant of the lattice in terms of the symmetric functions of the roots of f(x). This is joint work with Evelyne Knight (Pomona College).
URL:https://colleges.claremont.edu/ccms/event/algebraic-lattices-and-pisot-polynomials-lenny-fukshansky-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250923T121500
DTEND;TZID=America/Los_Angeles:20250923T131000
DTSTAMP:20260414T190827
CREATED:20250811T185820Z
LAST-MODIFIED:20250813T192625Z
UID:3783-1758629700-1758633000@colleges.claremont.edu
SUMMARY:Graphical designs: combinatorics and applications (Catherine Babecki\, Caltech)
DESCRIPTION:A graphical design is a quadrature rule for a graph inspired by classical numerical integration on the sphere. Broadly speaking\, that means a graphical design is a relatively small subset of graph vertices chosen to capture the global behavior of functions from the vertex set to the real numbers. We first motivate and define graphical designs for graphs with positive edge weights. Through Gale duality\, we exhibit a combinatorial bijection between graphical designs and the faces of certain polytopes associated to a graph\, called eigenpolytopes. This polytope connection implies a variety of beautiful consequences\, including a proof of existence\, an upper bound on the cardinality of a graphical design\, methods to compute\, optimize\, and organize graphical designs\, the existence of random walks with improved convergence rates\, and complexity results for associated computational problems.  We conclude with applications to the equitable facility location problem.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-catherine-babecki-caltech/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250916T121500
DTEND;TZID=America/Los_Angeles:20250916T131000
DTSTAMP:20260414T190827
CREATED:20250809T192948Z
LAST-MODIFIED:20250811T173854Z
UID:3780-1758024900-1758028200@colleges.claremont.edu
SUMMARY:A non-uniformly inner amenable group (Isaac Goldbring\, UC Irvine)
DESCRIPTION:An inner amenable group is one in which there is a finitely additive conjugation-invariant probability measure on the non-identity elements.  In this talk\, we show that inner amenability is not preserved under elementary equivalence.  As a result\, we give the first example of a group that is inner amenable but not uniformly inner amenable.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-isaac-goldbring-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250902T121500
DTEND;TZID=America/Los_Angeles:20250902T131000
DTSTAMP:20260414T190827
CREATED:20250814T025232Z
LAST-MODIFIED:20250819T024559Z
UID:3787-1756815300-1756818600@colleges.claremont.edu
SUMMARY:Categorification of biquandle arrow weight invariants via quivers (Migiwa Sakurai\, Shibaura Institute of Technology)
DESCRIPTION:Biquandle arrow weights invariants are enhancements of the biquandle counting invariant for oriented virtual and classical knots defined from biquandle-colored Gauss diagrams using a tensor over an abelian group satisfying certain properties. In this talk\, we categorify the biquandle arrow weight polynomial invariant using biquandle coloring quivers\, obtaining new infinite families of polynomial invariants of oriented virtual and classical knots.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-migiwa-sakurai-shibaura-institute-of-technology/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241203T150000
DTEND;TZID=America/Los_Angeles:20241203T160000
DTSTAMP:20260414T190827
CREATED:20240928T045355Z
LAST-MODIFIED:20241202T162645Z
UID:3555-1733238000-1733241600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Rhea Palak Bakshi (University of California\, Santa Barbara)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Rhea Palak Bakshi (University of California Santa Barbara) \nTitle: The skein module of the connected sum of two copies of L(0\,1) \nAbstract: Abstract: Skein modules were introduced by Jozef H. Przytycki\, and independently by Vladmimor Turaev\, as generalisations of the Jones\, Kauffman bracket\, and HOMFLYPT polynomial link invariants in the 3-sphere to arbitrary 3-manifolds. The Kauffman bracket skein module (KBSM) is the most extensively studied of all. However\, computing the KBSM of a 3-manifold is known to be notoriously hard\, especially over the ring of Laurent polynomials. Marche conjectured that over the ring of Laurent polynomials\, the KBSM of closed oriented 3-manifolds splits into the sum of free and torsion modules. The counterexample to this conjecture is given by the connected sum of two copies of the real projective space. With the goal of finding a definite structure of the KBSM over this ring\, we compute the skein module of S^1 x S^2 # H_1 and S^1 x S^2 # S^1 x S^2. We show that it is isomorphic to the KBSM of a genus two handlebody modulo some specific handle sliding relations. Moreover\, these handle sliding relations can be written in terms of Chebyshev polynomials. We also discuss whether the KBSM of these manifolds splits into the sums of free and torsion modules. This is joint work with Seongjeong Kim\, Shangjun Shi\, and Xiao Wang.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-rhea-palak-bakshi-university-of-california-santa-barbara/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241112T150000
DTEND;TZID=America/Los_Angeles:20241112T160000
DTSTAMP:20260414T190827
CREATED:20240928T045117Z
LAST-MODIFIED:20241109T013611Z
UID:3553-1731423600-1731427200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Claudio Gomez-Gonzales (Carleton College - UC Irvine)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend the Topology Seminar! \nSpeaker: Claudio Gomez-Gonzales (Carleton College – UC Irvine) \nTitle: How hard could it be? A tour of resolvent degree \nAbstract: Solving algebraic equations are among the oldest problems in mathematics. In this talk\, we offer a concrete\, visual\, and historical introduction to resolvent degree (RD)\, an invariant that aspires to quantify just how hard these problems are. The lineage of this theory includes the origins of topology\, Klein’s “hypergalois” program\, and centuries-old exploits in reducing numbers of coefficients\, which dare us to push beyond the solvable/unsolvable dichotomy. We will build towards the notion of versality central to Klein’s vision\, with a nod to our general framework implemented in joint work with Alexander Sutherland and Jesse Wolfson\, that permits us to address resolvent questions via classical invariant theory. We will conclude by reflecting on the past and future of resolvent problems\, along with what we do and don’t know about RD. This talk is designed to be accessible for undergraduates—let’s do some math!
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-claudio-gomez-gonzales-carleton-college-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241105T150000
DTEND;TZID=America/Los_Angeles:20241105T160000
DTSTAMP:20260414T190827
CREATED:20240928T045017Z
LAST-MODIFIED:20241025T175032Z
UID:3550-1730818800-1730822400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Vijay Higgins (UCLA)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Vijay Higgins (UCLA) \nTitle: Webs and skein algebras \nAbstract: The Jones polynomial of a link can be computed diagrammatically by using skein relations\, which encode the representation theory of SL(2). By considering the vector space spanned by links drawn on a surface and imposing these skein relations\, we obtain an algebra known as the Kauffman bracket skein algebra of the surface. These algebras have been studied by many authors\, including F. Bonahon and H. Wong\, and much is known about their structure. Replacing SL(2) by SL(3) or any other higher rank Lie group gives rise to a new skein algebra involving not only links but also certain graphs called webs. In this talk\, we will discuss some of the complications involved with studying skein algebras built from webs on surfaces and then present ways of getting around them. Some of this work is joint with F. Bonahon.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-vijay-higgins-ucla/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241029T150000
DTEND;TZID=America/Los_Angeles:20241029T160000
DTSTAMP:20260414T190827
CREATED:20240928T044917Z
LAST-MODIFIED:20241024T185135Z
UID:3552-1730214000-1730217600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Orsola Capovilla-Searle (UC Davis)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Orsola Capovilla-Searle (UC Davis) \nTitle: Exact Lagrangian fillings of Legendrian links \nAbstract: An important problem in contact topology is to understand Legendrian submanifolds; these submanifolds are always tangent to the plane field given by the contact structure. Legendrian links arise as wavefronts in optics\, and can sometimes be used to distinguish contact structures. Legendrian links can also arise as the boundary of exact Lagrangian surfaces in the standard symplectic 4-ball which are called fillings of the link. In the last seven years\, our understanding of the moduli space of fillings for various families of Legendrians has greatly improved thanks to tools from sheaf theory\, Floer theory and cluster algebras. I will talk about recent work establishing connections between fillings and Newton polytopes\, as well as applications to higher dimensional Legendrian submanifolds and non-orientable fillings.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-orsola-capovilla-searle-uc-davis-2/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241001T150000
DTEND;TZID=America/Los_Angeles:20241001T160000
DTSTAMP:20260414T190827
CREATED:20240928T044059Z
LAST-MODIFIED:20240928T044059Z
UID:3549-1727794800-1727798400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Reginald Anderson (CMC) \nTitle: Presentations of derived categories \nAbstract: A modification of the cellular resolution of the diagonal given by Bayer-Popescu-Sturmfels gives a virtual resolution of the diagonal for smooth projective toric varieties and toric Deligne-Mumford stacks which are a global quotient of a smooth projective variety by a finite abelian group. In the past year\, Hanlon-Hicks-Lazarev gave a minimal resolution of the diagonal for toric subvarieties of smooth projective toric varieties. We give implications for exceptional collections on smooth projective toric Fano varieties in dimensions 1-4. This is joint work with CMC undergrads Justin Son\, Hill Zhang\, and Jumari Querimit-Ramirez.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc-3/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240924T121500
DTEND;TZID=America/Los_Angeles:20240924T131000
DTSTAMP:20260414T190827
CREATED:20240825T022324Z
LAST-MODIFIED:20240825T022447Z
UID:3467-1727180100-1727183400@colleges.claremont.edu
SUMMARY:Presentations of derived categories (Reginald Anderson\, CMC)
DESCRIPTION:A modification of the cellular resolution of the diagonal given by Bayer-Popescu-Sturmfels gives a virtual resolution of the diagonal for smooth projective toric varieties and toric Deligne-Mumford stacks which are a global quotient of a smooth projective variety by a finite abelian group. In the past year\, Hanlon-Hicks-Lazarev gave a minimal resolution of the diagonal for toric subvarieties of smooth projective toric varieties. We give implications for exceptional collections on smooth projective toric Fano varieties in dimensions 1-4. This is joint work with CMC undergrads Justin Son\, Hill Zhang\, and Jumari Querimit-Ramirez.
URL:https://colleges.claremont.edu/ccms/event/localization-techniques-in-equivariant-cohomology-reginald-anderson-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240917T150000
DTEND;TZID=America/Los_Angeles:20240917T160000
DTSTAMP:20260414T190827
CREATED:20240906T122404Z
LAST-MODIFIED:20240906T122541Z
UID:3496-1726585200-1726588800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Migiwa Sakurai (Shibaura Institute of Technology)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Migiwa Sakurai (Shibaura Institute of Technology) \nTitle: Clasp pass moves and arrow polynomials of virtual knots \nAbstract: For classical knots\, clasp pass moves are closely related to Vassiliev invariants of degree 3. Tsukamoto showed that the values of the Vassiliev invariant of degree 3 induced from the Jones polynomial for two knots differ by 0 or +36/-36\, if they are related by a single clasp pass move. For virtual knots\, the arrow polynomial is a generalization of the Jones polynomial and induces a Vassiliev invariant of degree 3. We show that the values of the Vassiliev invariant of degree 3 induced from the arrow polynomial of two virtual knots differ by 0 or +2304/-2304\, if they are related by a single clasp pass move. We also obtain a lower bound of the distance between virtual knots by clasp pass moves.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-migiwa-sakurai-shibaura-institute-of-technology/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240910T150000
DTEND;TZID=America/Los_Angeles:20240910T160000
DTSTAMP:20260414T190827
CREATED:20240906T122226Z
LAST-MODIFIED:20240906T122236Z
UID:3495-1725980400-1725984000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Sam Nelson (CMC)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Sam Nelson (CMC) \nTitle: Biquandle Module Quiver Representations \nAbstract: Biquandle module enhancements are invariants of knots and links generalizing the classical Alexander module invariant. A quiver categorification of these invariants was introduced in 2020. In this work-in-progress (joint with Yewon Joung from Hanyang University in Seoul) we take the next step by defining invariant quiver representations. As an application we obtain new polynomial knot invariants ae decategorifications.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-sam-nelson-cmc/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240903T121500
DTEND;TZID=America/Los_Angeles:20240903T131000
DTSTAMP:20260414T190827
CREATED:20240824T184428Z
LAST-MODIFIED:20240824T184428Z
UID:3465-1725365700-1725369000@colleges.claremont.edu
SUMMARY:Lattice angles and quadratic forms (Lenny Fukshansky\, CMC)
DESCRIPTION:What are the possible angles between two integer vectors in R^n? If we fix one such possible angle and one integer vector x\, is there always another integer vector y that makes this angle with x? Assuming that x makes a given angle with some vector\, how can we find the shortest such vector y? What if we designate a forbidden set of vectors\, what is the shortest y making a given angle with x outside of this forbidden set? It turns out that all of these questions can be reformulated in terms of a search for zeros of integral quadratic forms\, a rich arithmetic theory. We will give an introduction to this research direction and also show some of our recent results. Joint work with Sehun Jeong (CGU).
URL:https://colleges.claremont.edu/ccms/event/lattice-angles-and-quadratic-forms-lenny-fukshansky-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240430T150000
DTEND;TZID=America/Los_Angeles:20240430T160000
DTSTAMP:20260414T190827
CREATED:20240131T040741Z
LAST-MODIFIED:20240131T040741Z
UID:3371-1714489200-1714492800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Elena Wang (Michigan State University)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Elena Wang (Michigan State University) \nTitle: A Distance for Geometric Graphs via the Labeled Merge Tree Interleaving Distance \nAbstract: Geometric graphs appear in many real-world data sets\, such as road networks\, sensor networks\, and molecules. We investigate the notion of distance between graphs and present a metric to measure the distance between two geometric graphs via merge trees. In order to preserve as much useful information as possible from the original data\, we introduce a way of rotating the sublevel set to obtain the merge trees via the idea of the directional transform. We represent the merge trees using a surjective multi-labeling scheme\, and then compute the distance between two representative matrices. Our distance not only has theoretically desirable qualities but can also be approximated in polynomial time. We illustrate its utility by implementation on a Passiflora leaf data set.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-elena-wang-michigan-state-university/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240430T121500
DTEND;TZID=America/Los_Angeles:20240430T131000
DTSTAMP:20260414T190827
CREATED:20240212T222657Z
LAST-MODIFIED:20240424T225203Z
UID:3383-1714479300-1714482600@colleges.claremont.edu
SUMMARY:Negligible cohomology (Matthew Gherman\, Caltech)
DESCRIPTION:For a finite group G\, a G-module M\, and a field F\, an element u in H^d(G\,M) is negligible over F if for each field extension L/F and every continuous group homomorphism from Gal(L^{sep}/L) to G\, u is in the kernel of the induced homomorphism H^d(G\,M) to H^d(L\,M). Negligible cohomology was first introduced by Serre and has deep connections with the embedding problem\, cohomological invariants\, and the profinite inverse Galois problem. Professor Alexander Merkurjev (UCLA) and I were able to compute negligible cohomology in degree 2\, compute the mod p negligible cohomology of elementary abelian p-groups\, and determine the Krull dimension of the quotient of mod p cohomology by the ideal of negligible elements.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-matthew-gherman-cal-tech/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240423T150000
DTEND;TZID=America/Los_Angeles:20240423T160000
DTSTAMP:20260414T190827
CREATED:20240128T230859Z
LAST-MODIFIED:20240414T234902Z
UID:3368-1713884400-1713888000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Joe Breen (University of Iowa)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Joe Breen (University of Iowa) \nTitle: Open books in all dimensions \nAbstract: I will discuss recent work (joint with K. Honda and Y. Huang) on establishing a relationship\, first discovered by Giroux\, between “contact structures” and “open books”. This relationship has been widely used in 3-dimensional contact topology\, and mathematicians are beginning to investigate the consequences in higher-dimensional contact topology. No background knowledge of contact topology or open book decompositions will be assumed. I will even motivate why higher-dimensional contact topology could be useful for questions in low-dimensional topology.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-joe-breen-university-of-iowa/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240423T121500
DTEND;TZID=America/Los_Angeles:20240423T131000
DTSTAMP:20260414T190827
CREATED:20240326T205445Z
LAST-MODIFIED:20240326T205445Z
UID:3419-1713874500-1713877800@colleges.claremont.edu
SUMMARY:Clocks\, parking garages\, and the solvability of the quintic: a friendly introduction to monodromy (Edray Goins\, Pomona College)
DESCRIPTION:Imagine the hands on a clock.  For every complete the minute hand makes\, the seconds hand makes 60\, while the hour hand only goes one twelfth of the way.   We may think of the hour hand as generating a group such that when we “move” twelve times then we get back to where we started.  This is the elementary concept of a monodromy group. In this talk\, we give a gentle introduction to a historical mathematical concept which relates calculus\, linear algebra\, differential equations\, and group theory into one neat theory called “monodromy”.  We explore lots of real world applications\, including why it’s so easy to get lost in parking garages\, and present some open problems in the field.  We end the talk with a discussion of how this is all related to solving polynomial equations\, such as Abel’s famous theorem on the insolubility of the quintic by radicals.
URL:https://colleges.claremont.edu/ccms/event/clocks-parking-garages-and-the-solvability-of-the-quintic-a-friendly-introduction-to-monodromy-edray-goins-pomona-college/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240416T150000
DTEND;TZID=America/Los_Angeles:20240416T160000
DTSTAMP:20260414T190827
CREATED:20240128T230720Z
LAST-MODIFIED:20240414T212101Z
UID:3367-1713279600-1713283200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Ryan Maguire (Dartmouth College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Ryan Maguire (Dartmouth College) \nTitle: Relative Strengths of Knot Invariants by Experiment \nAbstract: Four knot polynomials have been well studied by topologists\, graph theorists\, and algebraists alike:\nThe Alexander\, Jones\, HOMFLY-PT\, and Khovanov polynomials. It is known that the Khovanov polynomial is “stronger” than the Jones polynomial\, and similarly one may state that HOMFLY-PT is stronger than both the Alexander and Jones polynomials. No comparison can be made between the Jones and Alexander polynomials since there are families of knots with identical Alexander polynomials but distinct Jones polynomials\, and vice-versa\, but experiment tells us the Jones polynomial is stronger\, on average\, at distinguishing knots. We have tabulated the Alexander\, Jones\, and HOMFLY-PT polynomials for all knots up to 19 crossings\, and the Khovanov polynomial for up to 17 crossings. Using this\, we can experiment on the relative strengths of these knot invariants and generate statistics on them.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-ryan-maguire-dartmouth-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240416T121500
DTEND;TZID=America/Los_Angeles:20240416T131000
DTSTAMP:20260414T190828
CREATED:20240324T220030Z
LAST-MODIFIED:20240326T015954Z
UID:3416-1713269700-1713273000@colleges.claremont.edu
SUMMARY:Primitive elements in number fields and Diophantine avoidance (Lenny Fukshansky\, CMC)
DESCRIPTION:The famous primitive element theorem states that every number field K is of the form Q(a) for some element a in K\, called a primitive element. In fact\, it is clear from the proof of this theorem that not only there are infinitely many such primitive elements in K\, but in fact most elements in K are primitive. This observation raises the question about finding a primitive element of small “size”\, where the standard way of measuring size is with the use of a height function. We discuss some conjectures and known results in this direction\, as well as some of our recent work on a variation of this problem which includes some additional avoidance conditions. Joint work with Sehun Jeong (CGU).
URL:https://colleges.claremont.edu/ccms/event/primitive-elements-in-number-fields-and-diophantine-avoidance-lenny-fukshansky-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240409T121500
DTEND;TZID=America/Los_Angeles:20240409T131000
DTSTAMP:20260414T190828
CREATED:20240328T182316Z
LAST-MODIFIED:20240330T202911Z
UID:3421-1712664900-1712668200@colleges.claremont.edu
SUMMARY:Building TOWARD Geometry: Truncated Octahedra work as Rhombic Dodecahedra (Peter Kagey\, HMC)
DESCRIPTION:In late March\, students\, staff\, and faculty were invited to help collaboratively build a large-scale geometric sculpture on the campus of Harvey Mudd College\, demonstrating a relationship between truncated octahedra and rhombic dodecahedra\, which are two examples of space-filling polyhedra. I’ll talk about the process of designing and building the sculpture\, some geometry and combinatorics underlying the construction\, and some discoveries we made along the way.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-peter-kagey-hmc-2/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240402T150000
DTEND;TZID=America/Los_Angeles:20240402T160000
DTSTAMP:20260414T190828
CREATED:20240128T230545Z
LAST-MODIFIED:20240308T230729Z
UID:3366-1712070000-1712073600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Jim Hoste (Pitzer College)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Jim Hoste (Pitzer College) \nTitle: Variations on the Kauffman Bracket\n\nAbstract: Forty years ago\, Lou Kauffman formulated his “bracket” polynomial\, a function from link diagrams to Laurent polynomials in one variable. This elementary construction leads to a simple definition of the Jones Polynomial. The simplifying assumptions made by Kauffman in producing the bracket polynomial are not strictly necessary\, leading to the question: Can a more general invariant of links be obtained using variations of the Kauffman bracket? In this talk I will explore this question.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-jim-hoste-pitzer-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240402T121500
DTEND;TZID=America/Los_Angeles:20240402T131000
DTSTAMP:20260414T190828
CREATED:20231024T210058Z
LAST-MODIFIED:20240326T205224Z
UID:3301-1712060100-1712063400@colleges.claremont.edu
SUMMARY:Well-rounded lattices and security: what we (don't) know (Camilla Hollanti\, Aalto University\, Finland)
DESCRIPTION:I will give a brief introduction to well-rounded lattices and to their utility in wireless communications and post-quantum security. We will see how the lattice theta series naturally arises in these contexts and discuss its connections to well-rounded lattices. The talk is based on joint work with Laia Amoros\, Amaro Barreal\, Taoufiq Damir\, Oliver Gnilke\, David Karpuk\, Alex Karrila\, Niklas Miller\, and Ha Tran.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-camilla-hollanti-aalto-university-finland/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240326T150000
DTEND;TZID=America/Los_Angeles:20240326T160000
DTSTAMP:20260414T190828
CREATED:20240128T230426Z
LAST-MODIFIED:20240308T230839Z
UID:3365-1711465200-1711468800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Qing Zhang (UC Santa Barbara)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Qing Zhang (UC Santa Barbara) \nTitle: Super-modular categories from near-group centers\n\nAbstract: A super-modular category is a unitary pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. The modular data for a super-modular category gives a projective representation of the group:  $\Gamma_\theta<\mathrm{SL}(2\, \mathbb{Z})$. Adapting work of Ng-Rowell-Wang-Wen\, Cho- Kim-Seo-You computed modular data from congruence representations of $\Gamma_\theta $ using the congruence subgroup theorem for super-modular categories of  Bonderson-Rowell-Wang-Z and the minimal modular extension theorem of  Reutter-Johnson-Freyd. They found two classes of previously unknown modular data for rank 10 super-modular categories. We show that these data are realized by modifying the Drinfeld centers of near-group fusion categories associated with the groups $\Z/6$ and $\Z/2\times \Z/4$. The methods we develop have more general applications\, and we describe some of them. This talk is based on joint work with Eric Rowell and Hannah Solomon.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-qing-zhang-uc-santa-barbara/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240326T121500
DTEND;TZID=America/Los_Angeles:20240326T131000
DTSTAMP:20260414T190828
CREATED:20231215T050545Z
LAST-MODIFIED:20240312T172417Z
UID:3331-1711455300-1711458600@colleges.claremont.edu
SUMMARY:Sublattices and subrings of Z^n and random finite abelian groups (Nathan Kaplan\, UC Irvine)
DESCRIPTION:How many sublattices of Zn have index at most X?  If we choose such a lattice L at random\, what is the probability that Zn/L is cyclic?  What is the probability that its order is odd?  Now let R be a random subring of Zn.  What is the probability that Zn/R is cyclic?  We will see how these questions fit into the study of random groups in number theory and combinatorics.  We will discuss connections to Cohen-Lenstra heuristics for class groups of number fields\, sandpile groups of random graphs\, and cokernels of random matrices over the integers.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-nathan-kaplan-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240319T150000
DTEND;TZID=America/Los_Angeles:20240319T160000
DTSTAMP:20260414T190828
CREATED:20240128T230304Z
LAST-MODIFIED:20240318T165014Z
UID:3364-1710860400-1710864000@colleges.claremont.edu
SUMMARY:*Cancelled* Claremont Topology Seminar: Iris Yoon (Wesleyan College)
DESCRIPTION:This talk has been cancelled. \nWe welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Iris Yoon (Wesleyan College) \nTitle: A generalized Dowker complex for multi-way Relations \nAbstract: Given a relation between two sets X and Y\, one can construct two simplicial complexes\, one having X as its vertex set and the other having Y as its vertex set. These two simplicial complexes (both called Dowker complexes)\, have initially been shown to have isomorphic homology groups (Dowker\, 1952) and were later shown to be homotopy equivalent (Bjorner\, 1988). I will present a generalization of the Dowker complex to multi-way relations. The construction is inspired by a new proof of Dowker homotopy equivalence (Brun & Salbu 2023) that embodies Quillen’s Theorem A. I will present different perspectives for understanding the generalized Dowker complex\, including as global sections of a cellular cosheaf and as the homotopy colimit of some underlying diagram. This is joint work with many collaborators (Vaupel\, Schonsheck\, de Silva\, Giusti\, Sazdanovic\, among others)\, and all results are preliminary.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-iris-yoon-wesleyan-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240319T121500
DTEND;TZID=America/Los_Angeles:20240319T131000
DTSTAMP:20260414T190828
CREATED:20231025T032921Z
LAST-MODIFIED:20240206T000905Z
UID:3302-1710850500-1710853800@colleges.claremont.edu
SUMMARY:Almost-prime times in horospherical flows (Taylor McAdam\, Pomona)
DESCRIPTION:There is a rich connection between homogeneous dynamics and number theory.  Often in such applications it is desirable for dynamical results to be effective (i.e. the rates of convergence for dynamical phenomena are known).  In the first part of this talk\, I will provide the necessary background and relevant history to state an effective equidistribution result for horospherical flows on the space of unimodular lattices in R^n.  I will then describe an application to studying the distribution of almost-prime times (integer times having fewer than a fixed number of prime factors) in horospherical orbits and discuss connections of this work to Sarnak’s Mobius disjointness conjecture.  In the second part of the talk I will describe some of the ingredients and key steps that go into proving these results. If time allows\, I will conclude by discussing recent results and ongoing work with M. Luethi that strengthens and generalizes this work.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-taylor-mcadam-pomona/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
END:VCALENDAR