Previous Conferences & Workshops

Nov
18
2015

Mathematical Conversations

An introduction to chromatic homotopy theory
6:00pm|Dilworth Room

Chromatic homotopy theory is the philosophy that homotopical phenomena should be understood via the periodicities they exhibit. Equivalently, it's the viewpoint that every prime number p hides an infinite hierarchy of "chromatic primes" of...

Nov
17
2015

Geometric Structures on 3-manifolds

The complex geometry of Teichmüller spaces and bounded symmetric domains II
Stergios Antonakoudis
4:00pm|S-101

From a complex analytic perspective, Teichmüller spaces and symmetric spaces can be realised as contractible bounded domains, which have several features in common but also exhibit many differences. In this talk we will study isometric maps between...

Nov
17
2015

Computer Science/Discrete Mathematics Seminar II

Cohomology for computer science
Alex Lubotzky
10:30am|S-101

We will start with presenting the basic notions of (co)homomology of simplical complexes (which requires only basic linear algebra over the field of order 2) and then we will indicate its relevance for several topics in computer science and...

Nov
16
2015

Members’ Seminar

The $\mathrm{SL}(2,\mathbb R)$ action on moduli space
2:00pm|S-101

There is a natural action of the group $\mathrm{SL}(2,\mathbb R)$ of $2 \times 2$ matrices on the unit tangent bundle of the moduli space of compact Riemann surfaces. This action can be visualized using flat geometry models, which allows one to make...

Nov
16
2015

Computer Science/Discrete Mathematics Seminar I

How quaternion algebras over number fields are useful for creating compiler for a quantum computer?
Vadym Kliuchnikov
11:15am|S-101

Solving the following problem is crucial when compiling for a quantum computer: given a finite set $G$ of elements of $SU(2)$, target element $U$ from $SU(2)$ and real number $\epsilon$ find $g_1,\dotsc, g_N$ from $G$ such that $\| g_1 \dotsm g_N -...

Nov
13
2015

Minerva Distinguished Visitor Lectures at Princeton University

III: Counting mapping class group orbits on hyperbolic surfaces
4:30pm|McDonnell A02, Princeton University

Let $X$ be a complete hyperbolic metric on a surface of genus $g$ with $n$ punctures. In this lecture I will discuss the problem of the growth of $s^{k}_{X}(L)$, the number of closed curves of length at most $L$ on $X$ with at most $k$ self...

Nov
13
2015

Joint IAS/Princeton University Symplectic Geometry Seminar

Legendrian fronts in contact topology
Roger Casals
2:00pm|S-101

In this talk we focus on Legendrian presentations of Weinstein manifolds; in particular, we discuss loose Legendrian embeddings and their absolute analogues, flexible Weinstein manifolds and overtwisted contact structures. The required definitions...

Nov
12
2015

Joint IAS/Princeton University Number Theory Seminar

Hasse principle for Kummer varieties
4:30pm|Fine 214, Princeton University

The existence of rational points on the Kummer variety associated to a 2-covering of an abelian variety $A$ over a number field can sometimes be established through the variation of the 2-Selmer group of quadratic twists of $A$. In the case when the...