Previous Conferences & Workshops

Oct
08
2024

Special Year Seminar

Combinatorial Inequalities and Combinatorial Interpretations: Part II
2:00pm|Wolfensohn Hall

In the second talk, I will concentrate on polynomial inequalities and whether the defect (the difference of two sides) has a combinatorial interpretation.  For example, does the inequality  $x^2+y^2 \geq 2xy$  have a combinatorial proof and what...

Oct
08
2024

Computer Science/Discrete Mathematics Seminar II

Subgroup Tests and Tailored Non-local Games
Michael Chapman
10:30am|Simonyi 101 and Remote Access

In the previous talk, we defined Subgroup Tests and the interactive proof system induced by them. In addition, we showed that if the Aldous--Lyons conjecture was true, then this interactive proof system contains only decidable languages. In this...

Oct
07
2024

Joint IAS/PU Arithmetic Geometry

Hodge theory for non-Archimedean analytic spaces
3:35pm|Simonyi 101 and Remote Access

By Deligne's Hodge theory, the integral cohomology groups H^n(X^h, Z) of the C-analytification of a separated scheme X of finite type over C are provided with a mixed Hodge structure, functorial in X. Given a non-Archimedean field K isomorphic to...

Oct
07
2024

Special Year Seminar

Combinatorial Inequalities and Combinatorial Interpretations: Part I
2:00pm|Rubenstein Commons | Meeting Room 5

In the first talk, I will give a broad survey of classical inequalities that arise in enumerative and algebraic combinatorics.  I will discuss how these inequalities lead to questions about combinatorial interpretations, and how these questions...

Oct
07
2024

Computer Science/Discrete Mathematics Seminar I

Subgroup Tests and the Aldous--Lyons Conjecture
Michael Chapman
10:30am|Simonyi 101 and Remote Access

A common theme in mathematics is that limits of finite objects are well behaved. This allows one to prove many theorems about finitely approximable objects, while leaving the general case open --- examples for this are Gottschalk's conjecture...

Oct
03
2024

Joint PU/IAS Number Theory

Generic Positivity of the Beilinson-Bloch Height of Gross-Schoen and Ceresa Cycles
Ziyang Gao
3:30pm|Princeton University, 134 Lewis Science Library

In this talk, I will report a recent joint work with Shouwu Zhang about a generic positivity of the Beilinson-Bloch height for the Gross-Schoen and Ceresa cycles of curves of genus at least 3. We also construct a Zariski open dense subset U of the...