Previous Conferences & Workshops

Mar
24
2021

Stability and Testability

Why was Connes' embedding conjecture refuted and there are still no known non-hyperlinear groups?
Michael Chapman
11:00am|Remote Access

In [MIP*=RE by JNVWY] the authors construct a non-local game that resolves Tsirelson's problem to the negative and by that refute Connes' embedding conjecture (CEC). The game *-algebra (see e.g. [KPS]) enables one to construct a finitely presented *...

Mar
23
2021

SL2 Seminar

Microlocal sheaves III: Regular singularities and Riemann-Hilbert
Michael McBreen
6:00pm|Remote Access

In the last talk of this series, we discuss the microlocal criterion for regular singularities of a D-module, and the existence of special filtrations on regular holonomic microdifferential modules. This allows us to define a D-module-theoretic...

Mar
23
2021

Computer Science/Discrete Mathematics Seminar II

Amortized circuit complexity, formal complexity measures, and catalytic algorithms
10:30am|Simonyi Hall 101 and Remote Access - see Zoom link below

Some of the central questions in complexity theory address the amortized complexity of computation (also sometimes known as direct sum problems). While these questions appear in many contexts, they are all variants of the following: 

Is the best...

Mar
22
2021

Analysis Seminar

A stationary set method for estimating oscillatory integrals
4:30pm|Remote Access

Given a polynomial $P$ of constant degree in $d$ variables and consider the oscillatory integral \[I_P = \int_{[0,1]^d} e(P(\xi)) \, \mathrm{d}\xi.\] Assuming the number $d$ of variables is also fixed, what is a good upper bound of $|I_P|$? In this...

Mar
22
2021

Members' Colloquium

String topology and the intersection product
2:00pm|Simonyi Hall 101 and Remote Access

String topology, as introduced by Chas and Sullivan 20 years ago, is a product structure on the free loop space of a manifold that lifts the classical intersection product from the manifold to its loop space. I’ll explain how both a product and a...

Mar
22
2021

Computer Science/Discrete Mathematics Seminar I

The abstract chromatic number
Leonardo Nagami Coregliano
11:15am|Remote Access - see Zoom link below

What edge density of a graph guarantees that that it will contain a particular subgraph? Or one of a given family $\mathcal{F}$ of subgraphs? The celebrated Erdős--Stone--Simonovits Theorem characterizes the maximum edge density in $\mathcal{F}$...

Mar
19
2021

Workshop on Topology: Identifying Order in Complex Systems

Physics of functional networks
Henrik Ronellenfitsch
2:00pm|Remote Access

We are surrounded by functional networks, from fluid transport in plants and animals to macroscopic elastic scaffoldings and microscopic crystals and materials, and engineered power grids. Often, such networks can be seen as optimized for their...

Mar
18
2021

Joint IAS/Princeton University Number Theory Seminar

The Shafarevich Conjecture for Hypersurfaces in Abelian Varieties
Will Sawin
4:30pm|Remote Access

Faltings proved the statement, previously conjectured by Shafarevich, that there are finitely many abelian varieties of dimension $n$, defined over a fixed number field, with good reduction outside a fixed finite set of primes, up to isomorphism. In...