Previous Conferences & Workshops

Apr
05
2016

Computer Science/Discrete Mathematics Seminar II

An average-case depth hierarchy theorem for Boolean circuits II
Li-Yang Tan
10:30am|S-101

We prove an average-case depth hierarchy theorem for Boolean circuits over the standard basis of AND, OR, and NOT gates. Our hierarchy theorem says that for every $d \geq 2$, there is an explicit $n$-variable Boolean function $f$, computed by a...

Apr
04
2016

Members’ Seminar

Knot surgery and Heegaard Floer homology
2:00pm|S-101

One way to construct new 3-manifolds is by surgery on a knot in the 3-sphere; that is, we remove a neighborhood of a knot, and reglue it in a different way. What 3-manifolds can be obtained in this manner? We provide obstructions using the Heegaard...

Apr
04
2016

Computer Science/Discrete Mathematics Seminar I

An average-case depth hierarchy theorem for Boolean circuits I
Li-Yang Tan
11:15am|S-101

We prove an average-case depth hierarchy theorem for Boolean circuits over the standard basis of AND, OR, and NOT gates. Our hierarchy theorem says that for every $d \\geq 2$, there is an explicit $n$-variable Boolean function $f$, computed by a...

Apr
01
2016

Joint IAS/Princeton/Columbia Symplectic Geometry Seminar

Infinitely many monotone Lagrangian tori in Del Pezzo surfaces
Renato Vianna
1:00pm|Math 407, Columbia University

We will describe how to get almost toric fibrations for all del Pezzo surfaces (endowed with monotone symplectic form), in particular for $\\mathbb{CP}^2\\#k\\overline{\\mathbb{CP}}^2$ for $4\\le k \\le 8$, where there is no toric fibrations. From...

Apr
01
2016

Joint IAS/Princeton/Columbia Symplectic Geometry Seminar

Log canonical threshold and Floer homology of the monodromy
10:20am|Math 520, Columbia University

The log canonical threshold of a hypersurface singularity is an important invariant which appears in many areas of algebraic geometry. For instance it is used in the minimal model program, has been used to prove vanishing theorems, find Kahler...

Mar
31
2016

Joint IAS/Princeton University Number Theory Seminar

Lambda-adic Waldspurger packets
Vinayak Vatsal
4:30pm|Fine 214, Princeton University

Waldspurger has shown that the genuine automorphic cuspidal representations of the metaplectic cover $S$ of $SL_2$ are divided naturally into packets, and that these packets are indexed by the cuspidal automorphic representations of $PGL_2$. We...

Mar
31
2016

Joint IAS/Princeton University Symplectic Geometry Seminar

Cellular homology, augmentations and generating families for Legendrian surfaces
4:30pm|Fine 314, Princeton University

Given a Legendrian surface in a contact one jet space, there is a local combinatorial DGA associated to the cell decomposition of the base projection of the Legendrian. The DGA is quasi-isomorphic to the Legendrian contact DGA. Using this...