Previous Conferences & Workshops

Feb
05
2024

Computer Science/Discrete Mathematics Seminar I

Expanding the Reach of P not equal to NP: the Minimum Circuit Size Problem with a Random Oracle is NP-hard
Rahul Ilango
11:00am|Simonyi 101 and Remote Access

In this talk, I will discuss progress on showing hardness of the Minimum Circuit Size Problem (MCSP). The computational complexity of MCSP is a longstanding mystery, dating back as far as Levin's seminal work on NP-completeness in 1973. Over the...

Feb
02
2024

Analysis and Mathematical Physics

Robin Harmonic Measure in Rough Domains
2:30pm|Simonyi Hall 101 and Remote Access

I will describe the construction of a harmonic measure that reproduces a harmonic function from its Robin boundary data, which is a combination of the value of the function and its normal derivative. I shall discuss the surprising fact that this...

Feb
02
2024

Condensed Learning Seminar

Recollections on K-theory
2:30pm|Princeton University, Fine Hall 314

Define the Grothendieck group of a commutative ring. Then define K1 and K2 and 
state Matsumoto’s theorem. Explain the definitions of higher K-theory in terms of the 
+-construction and in terms of the∞-group completion of groupoid of finite...

Feb
01
2024

Joint PU/IAS Number Theory

On the Factorization of the System of Beilinson-Kato
4:30pm|214 Fine Hall Princeton University

I will explain how to factor the system of Beilinson-Kato elements as a product of two modular symbols (an algebraic avatar of the Rankin-Selberg formula).  This is joint work with Shanwen Wang.

Jan
31
2024

Special Year Seminar

Sen Operators and Lie Algebras Arising From Galois Representations Over $p$-adic Varieties
2:00pm|Simonyi 101 and Remote Access
Jan
30
2024

Computer Science/Discrete Mathematics Seminar II

Omniprediction and Multigroup Fairness
Parikshit Gopalan
10:30am|Simonyi Hall 101 and Remote Access

Consider a scenario where we are learning a predictor, whose predictions will be evaluated by their expected loss. What if we do not know the precise loss at the time of learning, beyond some generic properties (like convexity)? What if the same...

Jan
29
2024

Joint IAS/Princeton Arithmetic Geometry Seminar

Intermediate Extension in Arithmetic Statistics
Will Sawin
3:30pm|Fine 322, Princeton University

Davenport-Heilbronn and Bhargava counted cubic, quartic, and quintic fields by first counting a larger set of orbits in some prehomogenous vector space and then sieving out the orbits corresponding to fields. Several mathematicians have studied...

Jan
29
2024

Members' Colloquium

Convergence of Unitary Representations and Spectral Gaps of Manifolds
2:00pm|Simonyi 101 and Remote Access

Let G be an infinite discrete group. Finite dimensional unitary representations of G are usually quite hard to understand. However, there are interesting notions of convergence of such representations as the dimension tends to infinity. One notion —...

Jan
29
2024

Symplectic Geometry Seminar

Taut Foliations Through a Contact Lens
Thomas Massoni
12:30pm|Simonyi 101 and Remote Access

In the late '90s, Eliashberg and Thurston established a remarkable connection between foliations and contact structures in dimension three: any co-oriented, aspherical foliation on a closed, oriented 3-manifold can be approximated by positive and...