Previous Conferences & Workshops

Feb
07
2023

Computer Science/Discrete Mathematics Seminar II

Overview and Recent Results in Combinatorial Auctions
Matt Weinberg
10:30am|Simonyi Hall 101 and Remote Access

In this talk, I'll first give a broad overview of the history of combinatorial auctions within TCS, and then discuss some recent results.

Combinatorial auctions center around the following problem: There is a set M of m items, and N of n bidders...

Feb
06
2023

Joint IAS/Princeton Arithmetic Geometry Seminar

Conditional Computability of Rational Points on Hyperbolic Curves
Levent Alpöge
4:30pm|Princeton University, Fine Hall 314

In this talk, I will specify a Turing machine T and prove the following about it. 1. On input C/K a smooth projective hyperbolic curve over a number field, if T halts, then its output is C(K). 2. The Hodge, Tate, and Fontaine-Mazur conjectures imply...

Feb
06
2023

Joint IAS/Princeton University Symplectic Geometry Seminar

Symplectic Embeddings of Hirzebruch Surfaces
Nicole Magill
4:00pm|Simonyi 101 and Remote Access

The four dimensional ellipsoid embedding function of a toric symplectic manifold M measures when a symplectic ellipsoid embeds into M. It generalizes the Gromov width and ball packing numbers. This function can have a property called an infinite...

Feb
06
2023

Members' Colloquium

Lefschetz Without Positivity: An Overview
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below

The Lefschetz property is central in the theory of projective varieties, detailing a fundamental property of their Chow rings, essentially saying that the multiplication with a geometrically motivated class is of full rank.

We drop the keyword...

Feb
06
2023

Computer Science/Discrete Mathematics Seminar I

Smooth Coverings of Space
11:15am|Simonyi 101 and Remote Access

Let K be a convex body in $R^n$. In some cases (say when K is a cube), we can tile $R^n$ using translates of K. However, in general (say when K is a ball) this is impossible. Nevertheless, we show that one can always cover space "smoothly" using...

Feb
03
2023

Joint IAS/PU Number Theory Seminar

Sums of Two Cubes
Ari Shnidman
2:30pm|Princeton University, Fine Hall 214

We prove that at least 2/21 of all integers can be written as a sum of two rational cubes, and at least 1/6 of all integers cannot. More generally, in any cubic twist family of elliptic curves, at least one 1/6 of curves have rank 0 and at least 1/6...

Feb
03
2023

Special Year Informal Seminar

Convergence of Ergodic Averages Along the Sequence $\Omega(n)$
Kaitlyn Loyd
1:30pm|Simonyi 101

Following Birkhoff's proof of the Pointwise Ergodic Theorem, it has been studied whether convergence still holds along various subsequences. In 2020, Bergelson and Richter showed that under the additional assumption of unique ergodicity, pointwise...

Feb
03
2023

Probability Seminar

Nathanaël Berestycki
10:15am|Simonyi 101 and Remote Access

Lecture 1: 10:15-11:15

On The Cover Time of Random Walks on Graphs

How long does it take for a random walk to cover all the vertices of a graph? 

And what is the structure of the uncovered set (the set of points not yet visited by the walk) close...

Feb
02
2023

Joint IAS/PU Number Theory Seminar

Selmer Averages in Families of Elliptic Curves with Marked Points and Applications
3:00pm|Princeton University, Fine Hall 214

Orbits of many coregular representations of algebraic groups are closely linked to moduli spaces of genus one curves with extra data. We may use these orbit parametrizations to compute the average size of Selmer groups of elliptic curves in certain...