Previous Conferences & Workshops

Dec
02
2024

Joint IAS/PU Analysis Seminar

Recent Progress On Mean Curvature Flow
Bruce Kleiner
3:15pm|Simonyi Hall 101 and Remote Access

An evolving surface is a mean curvature flow if the normal component of its velocity field is given by the mean curvature. First introduced in the physics literature in the 1950s, the mean curvature flow equation has been studied intensely by...

Dec
02
2024

Members' Colloquium

Relationships Between Nilpotency and Curvature
1:00pm|Simonyi 101 and Remote Access

We travel the years in order to understand the relationship between Nilpotency and Riemannian geometry: including Gromov's almost flat theorem for manifolds with bounded curvature and Fukaya-Yamaguchi's almost nilpotency of spaces with lower...

Dec
02
2024

Computer Science/Discrete Mathematics Seminar I

QMA vs. QCMA and Pseudorandomness
Henry Yuen
10:30am|Simonyi 101 and Remote Access

In quantum complexity theory, QMA and QCMA represent two different generalizations of NP. Both are defined as sets of languages whose Yes instances can be efficiently checked by a quantum verifier that is given a witness. With QMA the witness can be...

Nov
29
2024

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Non-commutative Cartier Isomorphism and Quantum Cohomology
Daniel Pomerleano
9:15am|Remote Access

Kaledin established a Cartier isomorphism for cyclic homology of dg-categories over fields of characteristic p, generalizing a classical construction in algebraic geometry. In joint work with Paul Seidel, we showed that this isomorphism and related...

Nov
26
2024

Analysis and Mathematical Physics

New Estimates for Navier–Stokes and the Inviscid Limit Problem
2:30pm|Simonyi Hall 101 and Remote Access

In this talk, I will present several a priori interior and boundary trace estimates for the 3D incompressible Navier–Stokes equation, which recover and extend the current picture of higher derivative estimates in the mixed norm. Then we discuss the...

Nov
26
2024

Symplectic Geometry Seminar

The Frobenius and the Equivariant Pants Product
12:00pm|Rubenstein Commons | Meeting Room 5

I will explain the relationship between the cyclotomic structure on symplectic cohomology and the equivariant pants products. This relationship exists for any cohomology theory (in particular, I will give a definition of the equivariant pants...

Nov
26
2024

Computer Science/Discrete Mathematics Seminar II

Simple High Dimensional Expanders from Cayley Graphs
10:30am|Simonyi 101 and Remote Access

Expander graphs are a staple of theoretical computer science. These are graphs which are both sparse and well connected. They are simple to construct and modify. Therefore they are a central gadget in numerous applications in TCS and combinatorics...

Nov
25
2024

Joint IAS/PU Arithmetic Geometry

Generalizations of Ohta's theorem for holomorphic modular forms on certain Shimura varieties
Marco Sangiovanni
3:35pm|Simonyi 101 and Remote Access

Ohta described the ordinary part of the 'etale cohomology of towers of modular curves in terms of Hida families. Ohta's approach crucially depended on the one-dimensional nature of modular curves. In this talk, I will present joint work with Chris...

Nov
25
2024

Members' Colloquium

Challenges and Breakthroughs in the Mathematics of Plasmas
1:00pm|Simonyi 101 and Remote Access

This colloquium will explore some fundamental issues in the mathematics of plasmas, focusing on the stability and instability of solutions to Vlasov-type equations, which are crucial for describing the behavior of charged particles in a plasma. A...