BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Claremont Center for the Mathematical Sciences - ECPv6.18.1//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:America/Los_Angeles
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20250309T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20251102T090000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20260308T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20261101T090000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20270314T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20271107T090000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261014T161500
DTEND;TZID=America/Los_Angeles:20261014T171500
DTSTAMP:20261012T021405Z
CREATED:20261012T021405Z
LAST-MODIFIED:20261012T021405Z
UID:10002368-1791994500-1791998100@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Frobenius invariants — Austyn Simpson (Bates College)
DESCRIPTION:Abstract: Rings containing a finite field \(mathbb{F}_p\) (such as the ring of polynomials with coefficients in \(mathbb{F}_p\)) admit a map called the Frobenius homomorphism which sends every element to its \(p\)-th power. This operation encodes delicate information about the geometry of the zero sets of polynomial equations in prime characteristic\, such as whether they are smooth. In this talk\, I will survey some numerical invariants defined using limits and asymptotic properties of this homomorphism which quantify how non-smooth a polynomial is. I will also discuss the current capabilities of large language models at solving problems related to these invariants\, as well as a surprising appearance of the number \(frac{4}{3}+frac{5}{14sqrt{7}}\). \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-frobenius-invariants-austyn-simpson-bates-college/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261007T161500
DTEND;TZID=America/Los_Angeles:20261007T171500
DTSTAMP:20261001T184747Z
CREATED:20261001T184747Z
LAST-MODIFIED:20261001T184747Z
UID:10002353-1791389700-1791393300@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Distribution-Based Optimal Asset Selling — Sixian Jin (CSU San Marcos)
DESCRIPTION:Abstract: In this talk\, we study the optimal timing of selling a risky asset within the distribution builder framework. Instead of specifying a utility function or risk-aversion parameter\, this approach allows an investor to express preferences directly through a desired distribution of the selling price. Mathematically\, the problem is closely related to the Skorokhod embedding problem\, where a target distribution is attained by stopping a diffusion process. We first discuss the distribution builder problem for general one-dimensional diffusions and then extend the framework to incorporate the possibility of ruin\, which places additional restrictions on the distributions that can be attained. We characterize the set of distributions attainable before ruin and consider two related optimization problems: finding the attainable distribution closest to an unattainable target\, and improving an attainable target under first-order stochastic dominance constraints. Using an extended f-divergence framework\, we establish existence and uniqueness results\, provide analytic characterizations of the solutions\, and illustrate the approach with numerical examples. \nSixian Jin is an Assistant Professor of Mathematics at California State University San Marcos. He graduated from Claremont Graduate University in 2017 under the supervision of Prof. Henry Schellhorn. His research interests include stochastic analysis\, stochastic differential equations\, and their applications in mathematical finance. In addition to his research\, he is actively involved in undergraduate and graduate education in probability\, statistics\, and financial mathematics. He is also interested in the use of artificial intelligence in mathematics education\, particularly in exploring how AI tools can be effectively incorporated into the teaching and learning of financial mathematics and statistics. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-distribution-based-optimal-asset-selling-sixian-jin-csu-san-marcos/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260930T161500
DTEND;TZID=America/Los_Angeles:20260930T171500
DTSTAMP:20260922T024752Z
CREATED:20260922T024752Z
LAST-MODIFIED:20260922T024752Z
UID:10002337-1790784900-1790788500@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Stable Khovanov Homology for Torus Links — Christine Lee (Texas State University)
DESCRIPTION:Abstract: Stable Khovanov homology \(Kh(T(n\, \infty))\) is an algebraic limit of the Khovanov homology groups of torus links \(T(n\, k) \) on a fixed number of strands \(n\)\, when more and more full twists are added as \(k \to \infty\). Stable Khovanov homology is intimately related to the Jones polynomial because it categorifies the Jones-Wenzl projector\, which can be used to define the colored Jones polynomial. \nWe still do not completely understand \(Kh(T(n\, \infty))\). The Gorsky-Oblomkov-Rasmussen conjecture predicts a simple form of the complex for which the explicit forms of the differentials are still open. I will talk about my summer research project with a group of undergraduate students where we use a process called “whittling” to compute explicit forms of the differentials for 3- and 4-stranded torus braids. We expect our results will serve as the base case for an induction proof of the GOR conjecture. \nBesides the discussion on providing meaningful research experience for undergraduate students\, the computational aspects of the project may be of interest to the audience. The students were organized into a “math” team and a “computer” team to encourage interaction of these perspectives in pursuit of a common goal. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-stable-khovanov-homology-for-torus-links-christine-lee-texas-state-university/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260923T161500
DTEND;TZID=America/Los_Angeles:20260923T171500
DTSTAMP:20260921T164909Z
CREATED:20260921T164635Z
LAST-MODIFIED:20260921T164909Z
UID:10002336-1790180100-1790183700@colleges.claremont.edu
SUMMARY:CCMS Colloquium: The Stochastic Logistic Map: Theory and Applications — Kimberly Ayers (CSU San Marcos)
DESCRIPTION:Flyer for Kim’s talk. \nAbstract: The logistic map is one of the most famous examples in dynamical systems. Originally introduced as a simple model of population growth\, it exhibits a surprisingly rich range of behavior: as a single parameter varies\, stable equilibria give way to periodic orbits and eventually to chaos. But in real populations\, quantities such as reproductive and death rates are unlikely to remain constant over time. What happens when we allow this parameter to vary randomly from one generation to the next? \nIn this talk\, we explore a stochastic version of the logistic map in which the parameter is chosen randomly at each iteration. Introducing randomness changes the questions we ask: rather than studying individual fixed points or periodic orbits\, we investigate probability distributions that describe the long-term behavior of the system. We will see how tools from dynamical systems and Markov processes can be used to show that\, under appropriate conditions\, the stochastic system settles into a unique long-term statistical behavior that is independent of its initial state. We conclude with simulations illustrating this invariant distribution and discuss several questions about how the system’s behavior changes as the amount and type of randomness vary. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-the-stochastic-logistic-map-theory-and-applications-kimberly-ayers-csu-san-marcos/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260916T161500
DTEND;TZID=America/Los_Angeles:20260916T171500
DTSTAMP:20260913T213353Z
CREATED:20260913T213353Z
LAST-MODIFIED:20260913T213353Z
UID:10002328-1789575300-1789578900@colleges.claremont.edu
SUMMARY:Edge Ideals via Independence Polynomials of Graphs — Dalena Vien (Bryn Mawr)
DESCRIPTION:Abstract: Edge ideals of graphs provide a fertile ground for uncovering combinatorial expressions for algebraic invariants of squarefree monomial ideals. Many algebraic invariants of these edge ideals directly reflect combinatorial properties of their underlying graphs. In this talk\, I will discuss how the independence polynomial \(P_G(x)\)\, the generating function for independent sets of a graph \(G\)\, encodes surprisingly rich information about the Hilbert series of the corresponding edge ideal \(I(G)\). In particular\, I will explain how \(P_G(x)\) determines both the top coefficient and degree of the \(h\)-polynomial. I will then demonstrate the results through familiar examples and a simple suspension construction that lets us track these invariants cleanly. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/edge-ideals-via-independence-polynomials-of-graphs-dalena-vien-bryn-mawr/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
END:VCALENDAR