Previous Conferences & Workshops

Dec
06
2013

Joint IAS/Princeton University Symplectic Geometry Seminar

Feynman categories, universal operations and master equations
Ralph Kaufmann
1:30pm|S-101

Feynman categories are a new universal categorical framework for generalizing operads, modular operads and twisted modular operads. The latter two appear prominently in Gromov-Witten theory and in string field theory respectively. Feynman categories...

Dec
05
2013

Joint IAS/Princeton University Number Theory Seminar

Patching and \(p\)-adic local Langlands
4:30pm|Fine 214, Princeton University

The \(p\)-adic local Langlands correspondence is well understood for \(\mathrm{GL}_2(\mathbb Q_p)\), but appears much more complicated when considering \(\mathrm{GL}_n(F)\), where either \(n>2\) or \(F\) is a finite extension of \(\mathbb Q_p\). I...

Dec
05
2013

Non-equilibrium Dynamics and Random Matrices

Local eigenvalue statistics at the edge of the spectrum: an extension of a theorem of Soshnikov
Alexander Sodin
2:00pm|S-101

We discuss two random decreasing sequences of continuous functions in two variables, and how they arise as the scaling limit from corners of a (real / complex) Wigner matrix undergoing stochastic evolution. The restriction of the second one to...

Dec
04
2013

Princeton University Mathematics Department Colloquium

Picard-Lefschetz theory and hidden symmetries
4:30pm|Fine 314, Princeton University

Picard-Lefschetz theory studies algebraic varieties by induction on their dimension. It can be used to determine their topology, and in more modern terms their symplectic geometry. We will apply this theory to describe extra structure which appears...

Dec
04
2013

Non-equilibrium Dynamics and Random Matrices

KPZ line ensemble
Ivan Corwin
11:00am|S-101

We construct a \(\mathrm{KPZ}_t\) line ensemble -- a natural number indexed collection of random continuous curves which satisfies a resampling invariance called the H-Brownian Gibbs property (with \(H(x)=e^x\)) and whose lowest indexed curve is...