Previous Conferences & Workshops

Mar
05
2024

Computer Science/Discrete Mathematics Seminar II

Locally Consistent Decomposition of Strings with Applications to Edit Distance Sketching
Michal Koucký
10:30am|Simonyi Hall 101 and Remote Access

Edit distance is a similarity measure for strings that counts how many characters have to be deleted, inserted or substituted in one string to get another one. It has many applications from comparing DNA sequences to text processing. We are still in...

Mar
04
2024

Joint IAS/Princeton Arithmetic Geometry Seminar

Pro-Etale Cohomology of Rigid-Analytic Spaces
Johannes Anschütz
3:30pm|Simonyi Hall 101 and Remote Access

In this talk I want to explain some surprising features of the pro-etale cohomology of rigid-analytic varieties, and how they can be explained by a six functor formalism with values in solid quasi-coherent sheaves on the Fargues-Fontaine curve. 

This...

Mar
04
2024

Emmy Noether Lectures

Real Local Langlands as Geometric Langlands on the Twistor-P^1
Peter Scholze
2:00pm|Wolfensohn Hall and Remote Access

Sponsored by the Minerva Research Foundation. 

In 2014, Fargues realized that one can formulate the local Langlands correspondence over p-adic fields as a geometric Langlands correspondence on the Fargues-Fontaine curve. This raises the question of a...

Mar
04
2024

Symplectic Geometry Seminar

Constraints on Contact Type Hypersurfaces in Symplectic 4-Manifolds
Thomas Mark
12:30pm|Simonyi 101 and Remote Access

In joint work with Bulent Tosun, it was shown that Heegaard Floer theory provides an obstruction for a contact 3-manifold to embed as a contact type hypersurface in standard symplectic 4-space. As one consequence, no Brieskorn homology sphere admits...

Mar
04
2024

Computer Science/Discrete Mathematics Seminar I

Explicit SoS Lower Bounds from High Dimensional Expanders
Max Hopkins
11:00am|Simonyi 101 and Remote Access

Where are the hard problems? In the absence of a proof of P ≠ NP, researchers have spent years proving unconditional lower bounds for constrained models of computation. In time, a distinct theme arose: random problems (in particular random...

Mar
01
2024

Analysis and Mathematical Physics

Arithmetic Study Behind Spectra of Quantum Interactions
Masato Wakayama
4:00pm|Simonyi Hall 101 and Remote Access

Interaction models discussed here are the (asymmetric) quantum Rabi model (QRM), which describes the interaction between a photon and two-level atoms, and the non-commutative harmonic oscillator (NCHO). The latter can be considered as a covering...

Mar
01
2024

Condensed Learning Seminar

Trace Class Maps and Nuclearity
2:30pm|Princeton University, Fine Hall 314

Introduce the notion of nuclear object in a symmetric monoidal stable ($\infty$-)category and discuss its properties. In particular, prove that if the monoidal unit is compact, then an object is dualizable if and only if it is compact and nuclear...

Mar
01
2024

Marston Morse Lectures

Scalar Curvature Rigidity of Polytopes
Simon Brendle
2:00pm|Simonyi 101 and Remote Access

A central theme in differential geometry involves studying Riemannian metrics satisfying various curvature positivity conditions. The weakest condition one can impose is the positivity of the scalar curvature. Inspired by Toponogov's triangle...

Feb
29
2024

Joint PU/IAS Number Theory

Hecke Algebras for P-Adic Groups and Explicit Local Langlands Correspondence
Yujie Xu
4:30pm|*Princeton University, Fine 214*

I will talk about several results on Hecke algebras attached to Bernstein blocks of (arbitrary) reductive p-adic groups, where we construct a local Langlands correspondence for these Bernstein blocks. Our techniques draw inspirations from the...