Previous Conferences & Workshops

Mar
03
2025

Joint IAS/PU Arithmetic Geometry

Some remarks on the cohomology of proetale local systems
David Hansen
3:35pm|*Princeton University, Fine Hall 224*

If X is a smooth proper rigid variety over C_p and L is a Z_p-local system on X, the cohomology groups H*(X,L) are finitely generated Z_p-modules by a basic result of Scholze. If L is merely a Q_p-local system, its cohomology groups are still finite...

Mar
03
2025

Marston Morse Lectures

Quantitative Stability in Geometric and Functional Inequalities
3:00pm|Simonyi 101 and Remote Access

Geometric and functional inequalities are fundamental in various mathematical areas, such as the calculus of variations, partial differential equations, and geometry. Classic examples encompass the isoperimetric inequality, Sobolev inequalities, and...

Mar
03
2025

Computer Science/Discrete Mathematics Seminar I

Improved Fault-Tolerant Non-Clifford Gates (or: How to Multiply Quantumly)
Louis Golowich
10:30am|Simonyi Hall 101 and Remote Access

A principal challenge in realizing the potential of quantum computing lies in our ability to perform computations fault-tolerantly, in the presence of the noise inherent to quantum devices. Non-Clifford quantum gates, which are analogous to the...

Feb
27
2025

Joint PU/IAS Number Theory

Algebraicity of Spin L-functions for GSp_6
3:30pm|Simonyi 101 and Remote Access

I will discuss recent results for algebraicity of critical values of Spin L-functions for GSp_6. I will also discuss ongoing work toward the construction of p-adic L-functions interpolating these values. I will explain how this work fits into the...

Feb
27
2025

What is...?

Combinatorial Patchwork
1:00pm|Simonyi Classroom (S-114)

In the 1970s, Viro's method paved an important path in the study of the topology of real algebraic varieties and became a precursor to tropical geometry. This method involves subdividing an integer polytope and using the information from each of its...

Feb
26
2025

Mathematical Conversations

How and Why to Formalize Mathematics
6:00pm|Simons Hall Dilworth Room

After a short crash course in using Lean to formalize mathematics, we will discuss potential applications to and implications for mathematics education, publication, and research.

Feb
26
2025

Connections to Schubert Calculus Learning Seminar

Connections With Schubert Calculus
3:30pm|Simonyi 101

Torus-orbit closures in Grassmannians or flag varieties are closely related to matroid theory. I will review some known properties of these torus-orbit closures, with an emphasis on some open problems which are related to Schubert calculus.

Feb
26
2025

Special Year Seminar I

The Generalized Pitman-Stanley Flow Polytope
2:00pm|Simonyi 101

In 1999, Pitman and Stanley introduced the polytope bearing their name along with a study of its faces, lattice points, and volume. This polytope is well-studied due to its connections to parking functions, lattice path matroids, generalized...

Feb
25
2025

Joint IAS/PU Groups and Dynamics Seminar

Rigidity for Boundary Actions and Classification in Low Dimensions
Federico Rodriguez-Hertz
4:30pm|Simonyi 101

The plan of the talk is to describe joint work with A. Brown and Z. Wang on the smooth classification of actions of lattices in $\mathrm{SL}(n,\mathbb{R})$ on $n-1$ dimensional manifolds. The method is also amenable to show rigidity for some...

Feb
25
2025

Analysis and Mathematical Physics

Geometry and Topology of Spectral Minimal Partitions
Graham Cox
2:30pm|Simonyi Hall 101 and Remote Access

A minimal partition is a decomposition of a manifold into disjoint sets that minimizes a spectral energy functional. In the bipartite case minimal partitions are closely related to eigenfunctions of the Laplacian, but in the non-bipartite case they...