Previous Conferences & Workshops

Jan
26
2021

Computer Science/Discrete Mathematics Seminar II

Log-concave polynomials in theory and applications
Cynthia Vinzant
10:30am|Simonyi 101 and Remote Access

A polynomial with nonnegative coefficients is strongly log-concave if it and all of its derivatives are log-concave as functions on the positive orthant. This rich class of polynomials includes many interesting examples, such as homogeneous real...

Jan
25
2021

Analysis Seminar

Bogoliubov theory for trapped Bose-Einstein condensates
Benjamin Schlein
4:30pm|Remote Access

We consider systems of $N$ particles interacting through a repulsive potential in the Gross-Pitaevskii regime. We prove complete Bose-Einstein condensation and we determine the form of the low-energy spectrum, in the limit of large $N$. Our results...

Jan
25
2021

Members’ Seminar

A nonabelian Brunn-Minkowski inequality
Ruixiang Zhang
2:00pm|Simonyi Hall 101 and Remote Access

The celebrated Brunn-Minkowski inequality states that for compact subsets $X$ and $Y$ of $\Bbb{R}^d$, $m(X+Y)^{1/d} \geq m(X)^{1/d}+m(Y)^{1/d}$ where $m(\cdot)$ is the Lebesgue measure. We will introduce a conjecture generalizing this inequality to...

Jan
25
2021

Computer Science/Discrete Mathematics Seminar I

An Improved Exponential-Time Approximation Algorithm for Fully-Alternating Games Against Nature
Andrew Drucker
11:15am|Remote Access - see Zoom link below

"Games against Nature" [Papadimitriou '85] are two-player games of perfect information, in which one player's moves are made randomly. Estimating the value of such games (i.e., winning probability under optimal play by the strategic player) is an...

Jan
22
2021

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

Pseudo-rotations vs. rotations
Başak Gürel
9:15am|Remote Access

The talk will focus on the question of whether existing symplectic methods can distinguish pseudo-rotations from rotations (i.e., elements of Hamiltonian circle actions). For the projective plane, in many instances, but not always, the answer is...

Jan
21
2021

Joint IAS/Princeton University Number Theory Seminar

Ax-Lindemann-Weierstrass Theorem (ALW) for Fuchsian automorphic functions
Joel Nagloo
4:30pm|Remote Access

Over the last decades, following works around the Pila-Wilkie counting theorem in the context of o-minimality, there has been a surge in interest around functional transcendence results, in part due to their connection with special points...

Jan
21
2021

Quantum Groups Seminar

Introduction to quantized enveloping algebras
Leonardo Maltoni
4:00pm|Remote Access

This talk covers Chapters 4 and 5 in Jantzen's book.