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X-WR-CALNAME:Claremont Center for the Mathematical Sciences
X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260402T161500
DTEND;TZID=America/Los_Angeles:20260402T171500
DTSTAMP:20260415T052121
CREATED:20260327T214850Z
LAST-MODIFIED:20260327T214850Z
UID:4063-1775146500-1775150100@colleges.claremont.edu
SUMMARY:Analysis Seminar: Restricted isometries and operator norms on finite-dimensional $L^p$-spaces (Alonso Delfín Ares de Parga\, CU Boulder)
DESCRIPTION:Abstract: An isometry between two normed vector spaces is a linear map that preserves the norm (i.e.\, the length of each output agrees with the length of its input). For the classical $p$-norms\, isometries have a very concrete description when $p\neq 2$: they are given by signed permutations of the coordinates. \nIn this talk\, I will present a generalization of this result to restricted isometries\, which are linear maps that preserve the norm only on a fixed subset of coordinates. I will discuss how this generalization could be used in the computation of certain $p$-operator norms\, a problem that is known to be NP-hard in general. \nThis talk includes joint work carried out as part of two REU projects in 2024 and 2025.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-restricted-isometries-and-operator-norms-on-finite-dimensional-lp-spaces-alonso-delfin-ares-de-parga-cu-boulder/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260324T161500
DTEND;TZID=America/Los_Angeles:20260324T171500
DTSTAMP:20260415T052121
CREATED:20260316T040720Z
LAST-MODIFIED:20260316T040956Z
UID:4048-1774368900-1774372500@colleges.claremont.edu
SUMMARY:Analysis Seminar: Metrics on quantum channels from noncommutative geometry (Tron Omland\, University of Oslo and Norwegian National Security Authority)
DESCRIPTION:Abstract: We study metrics on completely positive maps\, and in particular on quantum channels\, induced by seminorms from noncommutative geometry. Using an infinite-dimensional analogue of the Choi–Jamiołkowski correspondence\, we construct such metrics and show that\, under suitable assumptions\, they satisfy stability and chaining. I will present the main ideas and explain how spectral triples and related constructions give rise to distances between quantum processes. This is joint work with Austad\, Bedos\, Eidesen\, and Larsen.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-metrics-on-quantum-channels-from-noncommutative-geometry-tron-omland-university-of-oslo-and-norwegian-national-security-authority/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260219T161500
DTEND;TZID=America/Los_Angeles:20260219T171500
DTSTAMP:20260415T052121
CREATED:20260216T012258Z
LAST-MODIFIED:20260216T012258Z
UID:4005-1771517700-1771521300@colleges.claremont.edu
SUMMARY:Analysis Seminar: Choquet simplices of groups and C*-algebras (Itamar Vigdorovich\, UCSD)
DESCRIPTION:Abstract: Let C be a compact convex set (in a locally convex topological vector space). By Choquet’s theorem\, every point in C is the barycenter of a probability measure supported on the extreme points. When this representing measure is unique\, C is called a simplex. \nSimplices arise naturally in various fields of mathematics: the space of invariant probability measures of a dynamical system is a simplex\, and so is the space of tracial states on a C*-algebra. In the group case\, the simplex of characters provides a framework for a non-commutative Fourier transform. \nI will also discuss results and phenomena for traces of free products\, fundamental groups of surfaces\, Kazhdan groups\, and related classes.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-choquet-simplices-of-groups-and-c-algebras-itamar-vigdorovich-ucsd/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260212T161500
DTEND;TZID=America/Los_Angeles:20260212T171500
DTSTAMP:20260415T052121
CREATED:20260207T012748Z
LAST-MODIFIED:20260207T014348Z
UID:3984-1770912900-1770916500@colleges.claremont.edu
SUMMARY:Analysis Seminar: Generalized Elmendorf’s Theorem in Context (Sofía Martínez Alberga\, Bryn Mawr College)
DESCRIPTION:Abstract: In general\, the objective of algebraic topology is to classify spaces using some algebraic invariants or up to some notion of equivalence. In the area of equivariant homotopy theory\, the goal is the same but now spaces equipped with a group action are considered and algebraic invariants of choice are homotopy groups. It turns out there is an analogous version of Whitehead’s theorem in the equivariant setting which in some sense motivates studying weak homotopy equivalences over homotopy equivalences. This talk will review some of these homotopical notions and introduce Elmendorf’s theorem. Proved in the eighties\, this theorem sheds some light on how one can better understand equivariant homotopical notions as functors from the orbit category of the group to the category of topological spaces. Also\, in this talk we will address how this perspective is used more modernly to understand better equivariant notions of other categories and to expand nonequivariant notions to equivariant ones.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-generalized-elmendorfs-theorem-in-context-sofia-martinez-alberga-bryn-mawr-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250429T150000
DTEND;TZID=America/Los_Angeles:20250429T160000
DTSTAMP:20260415T052121
CREATED:20250303T212829Z
LAST-MODIFIED:20250428T212953Z
UID:3725-1745938800-1745942400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: David Bachman (Pitzer College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: David Bachman (Pitzer College) \nTitle: Learning optimal knot projections \nAbstract: We use techniques from Reinforcement Learning to find knot projections which minimize crossing number.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-david-bachman-pitzer-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250422T150000
DTEND;TZID=America/Los_Angeles:20250422T160000
DTSTAMP:20260415T052121
CREATED:20250303T212722Z
LAST-MODIFIED:20250303T212722Z
UID:3724-1745334000-1745337600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Sam Nelson (Claremont McKenna College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Sam Nelson (Claremont McKenna College) \nTitle: Virtual Biquandle Cocycle Quiver Representations \nAbstract: We construct a quiver representation valued invariant of virtual knots and links using virtual biquandle homology.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-sam-nelson-claremont-mckenna-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250415T150000
DTEND;TZID=America/Los_Angeles:20250415T160000
DTSTAMP:20260415T052121
CREATED:20250303T182159Z
LAST-MODIFIED:20250413T171750Z
UID:3719-1744729200-1744732800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Sierra Knavel (Georgia Tech)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Sierra Knavel (Georgia Tech) \nTitle: Betti Numbers and Indecomposability of Genus-2 Lefschetz Fibrations \nAbstract: Symplectic 4-manifolds\, smooth 4-manifolds equipped with a closed\, nondegenerate 2-form\, arise naturally in classical mechanics and have become central objects of study in topology. Following foundational work by Donaldson and Gompf\, Lefschetz pencils have been shown to correspond bijectively with symplectic 4-manifolds\, making symplectic 4-manifolds a tractable family of smooth 4-manifolds to work with. This talk focuses on genus-2 Lefschetz fibrations obtained by blowing up Lefschetz pencils and presents new bounds on their first Betti number. We will also examine a particularly elusive class of non-simply connected\, indecomposable genus-2 fibrations and consider the prospects of extending these results to higher genera.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-sierra-knavel-georgia-tech/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250401T150000
DTEND;TZID=America/Los_Angeles:20250401T160000
DTSTAMP:20260415T052121
CREATED:20250214T211604Z
LAST-MODIFIED:20250224T221209Z
UID:3706-1743519600-1743523200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Scott Taylor (Colby College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Scott Taylor (Colby College) \nTitle: Genus 1 Bridge Number of Satellite Knots in Lens Spaces \nAbstract: In the mid-1950s\, Horst Schubert introduced two ideas which turned out to have lasting impact in knot theory: satellite knots and bridge number. A Satellite knot is a knot which is tied in the shape of another knot (its companion). Wrapping number is one way of measuring how complicated the satellite knot is with respect to its companion. Bridge number is an invariant for knots and links in the 3-sphere. Schubert showed that the bridge number of a satellite knot is at least the wrapping number times the bridge number of the companion. I’ll give an overview of recent joint work with Maggy Tomova where we extend Schubert’s result to knots in lens spaces.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-scott-taylor-colby-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250325T150000
DTEND;TZID=America/Los_Angeles:20250325T160000
DTSTAMP:20260415T052121
CREATED:20250214T211453Z
LAST-MODIFIED:20250324T000533Z
UID:3705-1742914800-1742918400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (Claremont McKenna College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Reginald Anderson (Claremont McKenna College) \nTitle: Kontsevich’s Recursive Formula for Rational Plane Curves \nAbstract: Gromov-Witten theory was developed in the 1990s as a curve-counting theory by integrating cohomology classes against a virtual fundamental class for a moduli space of stable maps. One early success of the theory was Kontsevich’s recursive formula for enumerating the number of rational plane curves through 3d-1 points in general position. Starting from a consideration of which genus 0 Gromov-Witten invariants for the complex projective plane can possibly be non-zero\, we will assemble a generating function for these invariants\, called the genus 0 Gromov-Witten potential for the complex projective plane. If time allows\, we will also use the fact that the potential satisfies a partial differential equation called the Witten-Dijkgraaf-Verlinde-Verlinde equation to solve for N_d\, the coefficients of the generating function\, which give the number of rational plane curves through 3d-1 points. \nThis talk follows p. 24-26 of these notes\, available at https://arxiv.org/abs/2501.03232. \nAll are welcome.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-claremont-mckenna-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250311T150000
DTEND;TZID=America/Los_Angeles:20250311T160000
DTSTAMP:20260415T052121
CREATED:20250214T211215Z
LAST-MODIFIED:20250303T222536Z
UID:3703-1741705200-1741708800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Iris Yoon (Wesleyan University)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Iris Yoon (Wesleyan University) \nTitle: Dowker duality\, profunctors\, and spectral sequences \nAbstract: I will present three short\, new proofs of Dowker duality using various poset fiber lemmas. I will introduce modifications of joins and products of simplicial complexes called relational join and relational product complexes. These relational complexes can be constructed whenever there is a relation between simplicial complexes\, which includes the context of Dowker duality and covers of simplicial complexes. In this more general setting\, I will show that the homologies of the simplicial complexes and the relational complexes fit together in a long exact sequence. If time permits\, I’ll discuss similar results for profunctors\, which are generalizations of relations to categories.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-iris-yoon-wesleyan-university/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250304T150000
DTEND;TZID=America/Los_Angeles:20250304T160000
DTSTAMP:20260415T052121
CREATED:20250214T211058Z
LAST-MODIFIED:20250227T210413Z
UID:3702-1741100400-1741104000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Carrie Frizzell (Scripps College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Carrie Frizzell (Scripps College) \nTitle: A Primer on Tropical Geometry \nAbstract: Max-plus and min-plus semifields—coined tropical semifields—appeared in the 1970s in the work of the computer scientist Imre Simon. Since then\, the field of tropical geometry has developed rapidly. In this talk\, we’ll present some basics of tropical geometry\, starting with tropical algebra and then passing to the geometric side via a few examples of tropical hypersurfaces. We will also discuss the relationship between classical algebraic curves and tropical curves. \n 
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-carrie-frizzell-scripps-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250225T150000
DTEND;TZID=America/Los_Angeles:20250225T160000
DTSTAMP:20260415T052121
CREATED:20250214T210308Z
LAST-MODIFIED:20250215T011007Z
UID:3699-1740495600-1740499200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Morgan Weiler (University of California\, Riverside)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Morgan Weiler (University of California\, Riverside) \nTitle: Anchored symplectic embeddings and 2-parameter persistence \nAbstract: Symplectic geometry is a generalization of classical mechanics\, in which position and momentum coordinates are paired. In two dimensions\, symplectic geometry is equivalent to volume-preserving geometry\, but in higher dimensions\, Gromov proved in volume inequality is not enough to guarantee embedding. In this talk\, we will explain an example for which requiring the complement of the embedding to contain a symplectic surface with fixed boundary conditions (the so-called “anchor”) provides an even stronger restriction than the symplectic form alone. The result is joint work with Michael Hutchings\, Agniva Roy\, and Yuan Yao; the method of proof that will be shown is ongoing work with Hutchings\, Roy\, and Yao and uses 2-parameter persistence modules\, a tool from topological data analysis which we will review.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-morgan-weiler-university-of-california-riverside/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250218T150000
DTEND;TZID=America/Los_Angeles:20250218T160000
DTSTAMP:20260415T052121
CREATED:20250214T210837Z
LAST-MODIFIED:20250214T211706Z
UID:3701-1739890800-1739894400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Shane Rankin (University of California\, Riverside)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Shane Rankin (University of California\, Riverside) \nTitle: Symplectic Hodge Theory on Lie Algebroids \nAbstract: Symplectic Hodge Theory was developed in the late 80s to answer a conjecture of Brylinksi. Since then it has been used to understand the gap between Symplectic and Kahler structures. In this talk\, we’ll discuss the background and history of the subject\, and discuss recent generalizations to the Lie Algebroid setting.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-shane-rankin-university-of-california-riverside/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241119T150000
DTEND;TZID=America/Los_Angeles:20241119T160000
DTSTAMP:20260415T052121
CREATED:20240928T045216Z
LAST-MODIFIED:20241015T011845Z
UID:3554-1732028400-1732032000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Heather Lee
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Heather Lee \nTitle: Some examples of homological mirror symmetry \nAbstract: Mirror symmetry is a duality phenomenon between symplectic geometry and complex geometry. The homological mirror symmetry (HMS) conjecture was originally formulated by M. Kontsevich in 1994 to fully capture this phenomenon for mirror pairs of compact Calabi-Yau manifolds. Since then\, it has been extended to cover a much wider range of manifolds. For example\, in 2 real dimensions\, among the compact Riemann surfaces\, the torus is Calabi-Yau\, the sphere is Fano\, and all others are of general type; in addition\, there are punctured Riemann surfaces which are not compact. In this talk\, I will present a few illustrative examples of HMS\, including ones worked out by others and from my own research.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-heather-lee/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241022T150000
DTEND;TZID=America/Los_Angeles:20241022T163000
DTSTAMP:20260415T052121
CREATED:20241015T012146Z
LAST-MODIFIED:20241015T012146Z
UID:3574-1729609200-1729614600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Will Hoffer (UC Riverside)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Will Hoffer (UC Riverside) \nTitle: Tube Formulae for Fractal Snowflakes \nAbstract: Fractals like the von Koch snowflake have rough boundaries\, often having nowhere defined tangent lines/spaces. However\, there is a tool useful for probing the edges of such fractals: tubular neighborhoods. In this talk\, we’ll introduce the theory of fractal tube formulae which describe the volumes of such tubular neighborhoods\, illustrating through our recent work on generalized fractal snowflakes. In the process\, we’ll touch on the theory of complex dimensions and tubular zeta functions that capture the (multiplicative) oscillations appearing in the geometry of fractals.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-will-hoffer-uc-riverside/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
END:VCALENDAR