Previous Conferences & Workshops

Apr
18
2023

Computer Science/Discrete Mathematics Seminar II

Existence of Subspace Designs
Ashwin Sah
10:30am|Simonyi Hall 101 and Remote Access

We prove the existence of subspace designs with any given parameters, provided that the dimension of the underlying space is sufficiently large in terms of the other parameters of the design and satisfies the obvious necessary divisibility...

Apr
17
2023

Joint IAS/Princeton University Arithmetic Geometry Seminar

An Application of Motivic Stable Homotopy Computations in Classical Theory
Hana Jia Kong
4:30pm|Princeton University, Fine Hall 314

Motivic homotopy theory is a powerful framework for understanding algebraic varieties and the associated algebraic objects. Moreover, computations in the motivic stable homotopy category can also assist in the computation of stable homotopy groups...

Apr
17
2023

Joint IAS/Princeton University Symplectic Geometry Seminar

Exotic contact structures on $\mathbb{R}^n$
Joseph Helfer
4:00pm|Simonyi 101 and Remote Access

Contact homology is a Floer-type invariant for contact manifolds, and is a part of Symplectic Field Theory. One of its first applications was the existence of exotic contact structures on spheres. Originally, contact homology was defined only for...

Apr
17
2023

Members' Colloquium

Classification of Smooth Actions by Higher Rank Lattices in Critical Dimensions
Zhiren Wang
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below

The Zimmer program asks how lattices in higher rank semisimple Lie groups may act smoothly on compact manifolds. Below a certain critical dimension, the recent proof of the Zimmer conjecture by Brown-Fisher-Hurtado asserts that, for SL(n,R) with n...

Apr
17
2023

Computer Science/Discrete Mathematics Seminar I

Unit and Distinct Distances in Typical Norms
Noga Alon
11:15am|Simonyi 101 and Remote Access

Erdős' unit distance problem and his related distinct distances problem are arguably the best known open problems in discrete geometry.

They ask for the maximum possible number of unit distances, and the minimum possible number of distinct...

Apr
14
2023

Probability Seminar

Topic #1 (Wang): Holography of the Loewner Energy; Topic #2 (Hutchcroft): Critical Behaviour in Long-Range and Hierarchical Percolation
Yilin Wang; Tom Hutchcroft
10:15am|Simonyi 101 and Remote Access

Topic #1 (Wang): The Loewner energy is a Möbius invariant quantity that measures the roundness of Jordan curves on the Riemann sphere. It arises from large deviation deviations of SLE0+ and is also a Kähler potential on the Weil-Petersson...

Apr
14
2023

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

Quivers, Flow Trees and Log Curves
Pierrick Bousseau
9:15am|Remote Access

Donaldson-Thomas (DT) invariants of a quiver with potential can be expressed in terms of simpler attractor DT invariants by a universal formula. The coefficients in this formula are calculated combinatorially using attractor flow trees. In joint...

Apr
13
2023

Joint IAS/PU Number Theory Seminar

Arithmetic of critical p-adic L-functions
Kazim Buyukboduk
4:30pm|Princeton University, Fine Hall 214

In joint work with Denis Benois, we give an étale construction of Bellaïche's p-adic L-functions about θ-critical points on the Coleman–Mazur eigencurve. I will discuss applications of this construction towards leading term formulae in terms of p...