Previous Conferences & Workshops

Mar
22
2024

Condensed Learning Seminar

Analytic Adic Spaces and Descent
2:30pm|Princeton University, Fine Hall 214

For a general complete Huber pair $(A,A^+)$, define the analytic ring $(A,A^+)_\blacksquare$. Prove that the associations $\mathrm{Spa}\, (A,A^+)\mapsto \mathcal{D}((A,A^+)_\blacksquare)$, $\mathrm{Spa}\, (A,A^+)\mapsto \mathcal{D}^\omega((A,A^+)_...

Mar
22
2024

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

The Giroux Correspondence in Arbitrary Dimensions
Ko Honda
9:15am|Remote Access

Around twenty years ago Emmanuel Giroux formulated the equivalence of contact structures and open book decompositions with Weinstein pages up to stabilization. We establish the Giroux correspondence in full generality using the recent developments...

Mar
21
2024

Joint PU/IAS Number Theory

Vanishing of Selmer Groups for Siegel Modular Forms
Sam Mundy
4:30pm|Simonyi 101 and Remote Access

Let π be a cuspidal automorphic representation of Sp_2n over Q which is holomorphic discrete series at infinity, and χ a Dirichlet character. Then one can attach to π an orthogonal p-adic Galois representation ρ of dimension 2n+1. Assume ρ is...

Mar
21
2024

What is...?

What is a graph complex?
1:00pm|Simonyi 101 and Remote Access

I’ll describe graph complexes, introduced by Kontsevich in the context of mathematical physics. I’ll survey its connections to geometry and topology, highlighting its relation to the cohomology of moduli spaces of curves. 

Mar
19
2024

Computer Science/Discrete Mathematics Seminar II

Geodesics and Minimal Surfaces in a Random Environment
10:30am|Simonyi Hall 101 and Remote Access

Endow the edges of the $Z^D$ lattice with positive weights, sampled independently from a suitable distribution (e.g., uniformly distributed on [a,b] for some b>a>0). We wish to study the geometric properties of the resulting network, focusing on the...

Mar
18
2024

Joint IAS/Princeton Arithmetic Geometry Seminar

Towards a Unified Theory of Canonical Heights on Abelian Varieties
Padmavathi Srinivasan
3:30pm|Simonyi Hall 101 and Remote Access

p-adic heights have been a rich source of explicit functions vanishing on rational points on a curve. In this talk, we will outline a new construction of canonical p-adic heights on abelian varieties from p-adic adelic metrics, using p-adic Arakelov...

Mar
18
2024

Members' Colloquium

Sum-of-Squares Proofs, Efficient Algorithms, and Applications
2:00pm|Simonyi 101 and Remote Access

Any non-negative univariate polynomial over the reals can be written as a sum of squares.  This gives a simple-to-verify certificate of non-negativity of the polynomial. Rooted in Hilbert's 17th problem, there's now more than a century's work that...

Mar
18
2024

Symplectic Geometry Seminar

The Shape Invariant for Toric Domains.
Richard Hind
12:30pm|Simonyi 101 and Remote Access

We discuss the shape invariant, a sort of set valued symplectic capacity defined by the Lagrangian tori inside a domain of $R^4$. Partial computations for convex toric domains are sometimes enough to give sharp obstructions to symplectic embeddings...