Previous Conferences & Workshops

Oct
17
2024

Special Year Seminar II

Scattering Amplitudes, Multi-variate Residues and Valuated Matroids
11:00am|Simonyi 101

Multi-variate residues on Grassmannians $G(k,n)$ and moduli spaces $M_{0,n}$ are ubiquitous in the study of scattering amplitudes; they provide a powerful and essential tool. Amenable theories include the biadjoint scalar, NLSM, Yang-Mills, gravity...

Oct
17
2024

Special Year Seminar II

Representations on the Cohomology of the Moduli Space of Pointed Rational Curves
Donggun Lee
10:00am|Simonyi 101

The moduli space of pointed rational curves has a natural action of the symmetric group permuting the marked points.  In this talk, we will present a combinatorial formula for the induced representation on the cohomology of the moduli space, along...

Oct
16
2024

Mathematical Conversations

A Very Brief History of a Miraculous Mathematical Metaphor
6:00pm|Birch Garden, Simons Hall

There is a remarkable parallel, first explicitly enunciated in the 1960s, between algebraic number theory and 3-dimensional geometry; for example, prime numbers are considered analogous to knots. I will only say a few short words about the substance...

Oct
16
2024

Special Year Seminar I

Discrete and Continuous Duality Algebras
Leonid Monin
2:00pm|Simonyi 101

A classical construction associates a Poincare duality algebra to a homogeneous polynomial on a vector space. This construction was used to give a presentation for cohomology rings of complete smooth toric varieties by Khovanskii and Pukhlikov and...

Oct
15
2024

Joint IAS/PU Groups and Dynamics Seminar

Closure of Orbits of the Pure Mapping Class Group on the Character Variety
Alireza Salehi Golsefidy
5:00pm|Simonyi 101

For every surface S, the pure mapping class group G_S acts on the (SL_2)-character variety Ch_S of a fundamental group P of S. The character variety Ch_S is a scheme over the ring of integers. Classically this action on the real points Ch_S(R) of...

Oct
15
2024

Bourgain Lecture

The Ramsey Numbers – New Results and New Perspectives
3:45pm|Simonyi 101

In this talk I will try to motivate the interest and some of the mystery in the Ramsey numbers R(k), which are fundamental quantities in combinatorics. I will go on to discuss some recent progress on our understanding of these numbers and make some...

Oct
15
2024

Analysis and Mathematical Physics

Serrin’s Overtermined Problem In Rough Domains
2:30pm|Simonyi Hall 101 and Remote Access

The classical Serrin’s overdetermined theorem states that a C^2 bounded domain, which admits a function with constant Laplacian that satisfies both constant Dirichlet and Neumann boundary conditions, must necessarily be a ball. While extensions of...

Oct
15
2024

Symplectic Geometry Seminar

Relative Symplectic Cohomology of Pairs
Adi Dickstein
1:00pm|Simonyi 101 and Remote Access

Relative symplectic cohomology, an invariant of subsets in a symplectic manifold, was recently introduced by Varolgunes. In this talk, I will present a generalization of this invariant to pairs of subsets, which shares similar properties with the...

Oct
15
2024

Computer Science/Discrete Mathematics Seminar II

Analytic Insights into the Zig-Zag Product and Its Friends: Part II
Gil Cohen
10:30am|Simonyi 101 and Remote Access

The well-known Zig-Zag product and related graph operators, like derandomized squaring, are fundamentally combinatorial in nature. Classical bounds on their behavior often rely on a mix of combinatorics and linear algebra. However, these traditional...