Previous Conferences & Workshops

Apr
17
2025

What is...?

What is Tensor Isomorphism?
1:00pm|Simonyi Classroom (S-114)

Two graphs are isomorphic if they are the same up relabelling the vertices. Two matrices are equivalent if they are the same up to elementary row and column operations. Tensor isomorphism generalises these basic notions in graph theory and linear...

Apr
17
2025

Special Year Seminar II

Surprising Representations in Cohomology of Configurations in Graphs
Nir Gadish
10:00am|Simonyi 101

Configuration spaces of points in graphs are nonsmooth analogs of braid arrangements, appearing in robotics applications and in theory of moduli spaces of tropical curves. While their cohomology is extremely difficult to understand, and depends on...

Apr
16
2025

Mathematical Conversations

Visual Aspects of Gaussian Periods
6:00pm|Simons Hall Dilworth Room

Gaussian periods are certain sums of roots of unity.  Gauss introduced them in his work on straight edge and compass constructions of regular polygons.  Since then, Gaussian periods have played important roles in number theory and beyond.  It turns...

Apr
15
2025

Emmy Noether Lectures

Trust and Distrust in ML: Using Algorithmic Properties of the Ground Truth
Shafi Goldwasser
2:00pm|Wolfensohn Hall and Remote Access

Abstract: 

Cryptographic tools enable the safe use of technology platforms controlled by worst case computationally bounded adversaries. In this talk I will show how cryptographic paradigms and tools can be used to address trust issues in various...

Apr
15
2025

Symplectic Geometry Seminar

Legendrian Non-Squeezing via Microsheaves
Eric Kilgore
1:00pm|Simonyi 101 and Remote Access

In this talk I will explain some quantitative embedding results for Legendrian submanifolds of pre-quantization spaces. To start, I will recall some contact non-squeezing results for domains, and present an elementary proof of Legendrian non...

Apr
14
2025

Joint IAS/PU Arithmetic Geometry

Some applications of homotopy theory to arithmetic geometry
Sanath Devalapurkar
3:35pm|*Princeton University, Fine Hall 224*

Recent work of Drinfeld, Bhatt, and Lurie provides a “geometrization” of the theory of prismatic cohomology, where, for a p-complete commutative ring R, one produces various algebraic stacks (“prismatizations”) whose coherent cohomology identifies...

Apr
14
2025

Emmy Noether Lectures

Trust and Distrust in ML: Privacy, Verification and Robustness
Shafi Goldwasser
2:00pm|Wolfensohn Hall and Remote Access

Abstract: 

Cryptographic tools enable the safe use of technology platforms controlled by worst case computationally bounded adversaries. In this talk I will show how cryptographic paradigms and tools can be used to address trust issues in various...

Apr
10
2025

Special Year Seminar II

Measures on Combinatorial Objects
Andrew Snowden
10:00am|Simonyi 101

Suppose given a class of finite combinatorial structures, such as graphs or total orders. Nate Harman and I recently introduced a notion of measure in this context: this is a rule assigning a number to each structure such that some axioms are...

Apr
09
2025

Mathematical Conversations

Aperiodic Square Tilings and Lattices in Products of Trees
6:00pm|Simons Hall Dilworth Room

We will consider finite collections of squares tiles, and ask when we can tile the whole plane in an interesting way. This question is related to the algebraic structure of ‘lattices in products of trees’, which are discrete groups acting...