Seminars for Pure Mathematics
Jan 9 2025 |
| Soohyun Park (Hebrew University of Jerusalem) |
| Euler characteristic-like invariants and positivity patterns in geometric contexts predicted by combinatorics |
| Algebra seminar |
| Time: 3:05PM |
| Location: 232 |
We will discuss intrinsic structures and positivity properties of certain Euler characteristic-like invariants which appear in a wide range of contexts in algebraic combinatorics. Note that the positi... More |
Jan 16 2025 |
| Benjamin Hennion (University Paris-Saclay (Orsay)) |
| Glueing invariants of Donaldson--Thomas type |
| Algebra seminar |
| Time: 8:30AM |
| Location: Zoom |
Donaldson--Thomas invariants are numerical invariants associated to Calabi--Yau varieties. They can be obtained by glueing singularity invariants from local models of a suitable moduli space. B... More |
Jan 23 2025 |
| Mark van Hoeik (FSU) |
| Solving linear recurrence relations in terms of solutions of lower order recurrences |
| Algebra seminar |
| Time: 3:05PM |
| Location: 232 |
We use difference Galois theory to classify recurrence relations of orders 3 and 4 that are solvable in terms of solutions of recurrence relations of order 2. We also develop algorithm... More |
Jan 30 2025 |
| Amod Agashe (FSU) |
| The zeros of the Riemann zeta function and its generalization to modular forms |
| Algebra seminar |
| Time: 3:05 |
| Location: 232 |
According to the Riemann hypothesis, the Riemann zeta function should have zeros only at negative even integers and complex numbers with real part 1/2. We will study the completed Riemann zeta f... More |
Feb 6 2025 |
| Rok Gregoric (John Hopkins University) |
| Even periodization |
| Algebra seminar |
| Time: 3:05PM |
| Location: 232 |
In this talk, I will present work in progress on even periodization. This is an operation on spectral stacks, which roughly approximates them as closely as possible with affines corresponding to even ... More |
Feb 13 2025 |
| Arash Karimi (FSU) |
| On the Mac Lane Q-Construction for Exact Infinity Categories |
| Algebra seminar |
| Time: 3:05PM |
| Location: LOV 232 |
One of the useful tools to compute the K-theory and stable homology of abelian groups, and more generally of exact categories, is "Mac Lane's Q-Constrcution". We extend this construction to exact ∞-... More |
Feb 20 2025 |
| Jeremy Booher (University of Florida) |
| In Search of Supersingular Curves |
| Algebra seminar |
| Time: 3:05PM |
| Location: 232 |
In positive characteristic, curves can be classified according to the p-adic Newton polygon of the numerator of their zeta function. The rarest possible behavior is for the curve to be supersingular,... More |
Feb 27 2025 |
| Trevor Hyde (Vassar College) |
| Polynomials with many rational preperiodic points |
| Algebra seminar |
| Time: 3:05PM |
| Location: Zoom |
In this talk we will discuss some recent progress on the following two problems in polynomial dynamics: 1. Given a degree d \geq 2, how many rational preperiodic points can a degree d polynomia... More |
Mar 6 2025 |
| Anubhav Nanavaty (University of California, Irvine) |
| Weight Filtrations and Derived Motivic Measures |
| Algebra seminar |
| Time: 3:05PM |
| Location: Zoom |
Weight Filtrations are mysterious: they record some shadow of how a variety might be recovered from smooth and projective ones. Some of the information recorded by weight filtrations can be understood... More |
Mar 27 2025 |
| Matthew Winters (FSU) |
| Rational Torsion in Abelian Varieties Associated to Newforms |
| Algebra seminar |
| Time: 3:05PM |
| Location: 232 |
Let f be a weight 2 newform on Γ_0(N) with N square free and A the abelian subvariety of the Jacobian J_0(N) associated to f. We show that if m is an ideal of the Hecke algebra with residue character... More |
Apr 3 2025 |
| Jeffery Liu (FSU) |
| Toric Geometry and Matroid Chern-Schwartz-MacPherson Classes |
| Algebra seminar |
| Time: 3:05PM |
| Location: 232 |
Toric varieties are a type of algebraic variety containing the algebraic torus as a dense open subset. There is a connection between toric varieties and rational polyhedral fans. The Chow cohomology r... More |
Apr 17 2025 |
| Mauro Porta (University of Strasbourg) |
| Exodromy beyond conicality |
| Algebra seminar |
| Time: 3:05PM |
| Location: Zoom |
Motivated by the study of wild character varieties in arbitrary dimension, with Jean-Baptiste Teyssier and Peter Haine we undertook a deeper study of the exodromy theorem in algebraic topology. In our... More |