Past Events

E.g., Jun 1, 2025

Seda Albayrak

University of Calgary
Multivariate generalization of Christol's Theorem

December 13, 2024

ESB 4127

Christol's theorem (1979), which sets ground for many interactions between theoretical computer science and number theory, characterizes the coefficients of a formal power series over a finite field of positive characteristic $p>0$ that satisfy an algebraic equation to be the sequences that... Read more

  • Number Theory

Amin Soofiani

UBC
Hensel's lemma for the norm principle for groups of type D_n

December 9, 2024

Math 126, Dept. of Mathematics, UBC

Given a finite separable field extension and a linear algebraic group defined over the base field, we can study the "Norm Principle", which examines how the base change of the group behaves with respect to the norm map of the field extension. It remains an open question whether the norm... Read more

  • Algebra and Algebraic geometry

Krystal Taylor

OSU
Finite Point Configurations and Fractal Sets

December 6, 2024

ESB 2012 and Zoom

A vibrant and classic area of research is that of relating the size of a set to the finite point configurations that it contains. Here, size may refer to cardinality, dimension, or measure. It is a consequence of the Lebesgue density theorem, for instance, that sets of positive measure in $\... Read more

Alex Cohen

MIT
Lower bounds for incidences

December 4, 2024

ESB 4133 (PIMS library)

Lots of problems in combinatorics and analysis are connected to upper bounds for incidences: given a set of points and tubes, how much can they intersect? This talk is about lower bounds for incidences, a topic that has received much less attention. We prove that if you choose n points in the... Read more

  • Harmonic Analysis and Fractal Geometry

Lucas Teyssier

UBC
Mixing time of fixed-point-free conjugacy classes of symmetric groups

December 4, 2024

In this talk we will discuss mixing times of simple random walks on Cayley graphs of symmetric groups, whose generating set is a conjugacy class. Our focus will be on representation-theoretic techniques. We will present asymptotic approximations of combinatorial formulas related to the hook... Read more

  • Probability

Dr. Orion D. Weiner

University of California San Francisco
Math-Bio: Self-organization of movement: from single cell polarity to multicellular swarms.

December 4, 2024

ESB4133

Cell movement requires long-range coordination of the cytoskeletal machinery that organizes cell morphogenesis. We have found that reciprocal interactions between biochemical signals and physical forces enable this long-range signal integration. Through a combination of optogenetic inputs,... Read more

  • Mathematical Biology

Dr. Orion D. Weiner

University of California San Francisco
Math-Bio: Self-organization of movement: from single cell polarity to multicellular swarms.

December 4, 2024

ESB4133

Cell movement requires long-range coordination of the cytoskeletal machinery that organizes cell morphogenesis. We have found that reciprocal interactions between biochemical signals and physical forces enable this long-range signal integration. Through a combination of optogenetic inputs,... Read more

  • Mathematical Biology

Semin Yoo

Discrete Mathematics Group, Institute for Basic Science
A q-analogue of the binomial coefficients and applications to off-diagonal Ramsey numbers

December 3, 2024

ESB 4133 (PIMS library)

q-analogues of quantities in mathematics involve perturbations of classical quantities using the parameter q, and revert to the original quantities when q goes 1. A notable example is the q-analogues of binomial coefficients, denoted by {n \choose k}_q, which give the number of k-dimensional... Read more

  • Discrete mathematics

Augusto Gerolin

U Ottawa. (Host: C Ortner)
A Quantum Optimal Transport Approach to Reduced Density Matrix Functional Theory

November 29, 2024

ESB 2012 and Zoom

Reduced density matrix theories offer a promising tool to circumvent the exponential scaling of the N-fermion Hilbert space with the system size and it is conceptually well-suited to describe strongly correlated many-particle systems, a central challenge in modern quantum chemistry and condensed... Read more

Tian An Wong

University of Michigan-Dearborn
Towards a notion of mesoscopy

November 29, 2024

ESB 4133

Within the Langlands program, the theory of endoscopy concerns the transfer of distributions between a reductive group $G$ and $G'$, an endoscopic group of $G$. At the heart of Langlands' original study on Beyond Endoscopy is the notion of stable transfer between groups $G$ and $G'$, where $G'$... Read more

  • Number Theory