Prev. week | Nov 16–22, 2025 | Next week
Sunday,
November 16 |
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Monday,
November 17 |
- 15:30–16:30 Algebra and Number Theory Seminar, Kemeny 343
 
- Weierstrass Points on hyperelliptic Shimura curves
- Holly Paige Chaos, Dartmouth College
- Roughly speaking, Weierstrass points are certain special points defined on curves of genus $\geq 2$, and modular curves are curves whose points parametrize objects of interest. For this reason, it is natural to be curious about what can be said about Weierstrass points on modular curves. Work was done in this direction by Rohrlich and Ahlgren-Ono for classical modular curves, and by Vincent for Drinfeld modular curves. In this talk we present results on the Weierstrass points of hyperelliptic Shimura curves $X_0^D(p)$ for $p$ prime, and when $X_0^D(1)$ has genus zero.
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Tuesday,
November 18 |
- 11:00–12:00 Combinatorics Seminar, Kemeny 307
- Shellability and Bruhat orders
- Aram Bingham, Universidad de Chile
- Shellability is a well-studied property in poset topology and combinatorial commutative algebra, with classical origins in polyhedral combinatorics. It implies several other nice properties, one of which is that a simplicial complex associated to a poset has the homotopy type of a wedge of spheres. It has been known since the 1980s that Bruhat posets of flag varieties (and their associated Coxeter groups) are shellable, and these results have been extended to several related settings more recently. We will discuss results and open questions on the shellability of "Bruhat" orders within the larger class of spherical varieties, based on recent joint work with Néstor Díaz Morera.
- 14:30–15:30 Applied and Computational Mathematics Seminar, Kemeny 004
- Tracking structure across growing populations: cancer mutations and tissue development
- Tom Chou, UCLA
- Mathematical models that describe intracellular attributes of proliferating cell populations are reviewed and a stochastic generalization presented. Two examples in which intracellular dynamics are coupled to cell division are presented: order of mutations in cancer progression and tissue development. Both of these applications involve gene expression dynamics within dividing cells that exhibit hysteresis or multistability, which we couple to cell motion and a proliferation-based fitness. The framework we develop is applied to examples of tissue development that produce thermostat behavior and regeneration.
- 15:30–16:30 Functional Analysis Seminar, Kemeny 343
- Strategies for Cantor games and operator systems
- Georgios Baziotis, University of Delaware
- Given a non-local game G, the n-fold repetition of G can be viewed as a game over the n-th cartesian product of the question and answer sets. When considering the infinite repetition of G, Cantor spaces arise naturally as infinite cartesian products of finite sets. In this talk, we introduce no-signalling correlations and subclasses thereof over a quadruple of Cantor spaces and describe them as states on tensor products of inductive limits of operator systems. En route, we establish a correspondence between no-signalling (resp. quantum approximate, quantum commuting) Cantor correlations and inductive sequences of no-signalling (resp. quantum approximate, quantum commuting) correlations acting on finite components. We introduce Cantor games and canonically associate one to a sequence of finite input/output games. As an application, we show that the numerical sequence of values of the games converges to the value of the Cantor game. This is joint work with Alexandros Chatzinikolaou, Ivan Todorov and Lyudmila Turowska.
- Poster
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Wednesday,
November 19 |
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Thursday,
November 20 |
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Friday,
November 21 |
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Saturday,
November 22 |
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Prev. week | November 16–22, 2025 | Next week
