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Dipendra Prasad (Indian Institute of Technology Bombay)

**Video release**:

03 August 2022, 16:00

**Interactive session**:

03 August 2022, 16:00 to 17:30

Online Lecture

After giving a general introduction to the representation theory of GL(n,C) and other classical groups, I will focus attention on Dibyendu Biswas's thesis work around the question of tensor product of representations of GL(n,C) and other classical groups.

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Amie Wilkinson (University of Chicago)

**Video release**:

21 June 2022, 18:00

**Interactive session**:

14 July 2022, 19:00 to 20:00

Virtual Colloquium

We shall initially discuss what symmetries mean in the context of dynamical systems of different flavors: complex analytic, Hamiltonian, or smooth. We shall then discuss progress towards a resolution of a conjecture of Smale: a generic smooth dynamical system has only trivial s...more

Prof. Melanie Matchett Wood (Harvard University)

**Video release**:

30 March 2022, 18:00

**Interactive session**:

20 April 2022, 18:00 to 19:30

Virtual Colloquium

For any finite group G, it is easy to see there exists a compact, oriented 3 dimensional manifold M with G as a quotient of the fundamental group of M. However, we can ask more detailed questions about the possible finite quotients of 3-manifold groups, e.g. for G and H finite ...more

Prof. Irit Dinur (Weizmann Institute of Science)

**Video release**:

20 December 2021, 18:00

**Interactive session**:

04 January 2022, 11:30 to 12:15

Virtual colloquium

A locally testable code (LTC) is an error-correcting code that admits a very efficient membership test. The tester reads a constant number of (randomly - but not necessarily uniformly - chosen) bits from a given word and rejects words with probability proportional to ...more

Prof. Laura DeMarco (Harvard University)

**Video release**:

05 November 2021, 18:00

**Interactive session**:

22 November 2021, 19:00 to 19:45

Virtual colloquium

In this talk, I will present a connection between dynamical systems and arithmetic geometry. Building on a simple relation -- between periodic points for a particular class of systems in dimension 1 and the torsion points for the group structure on a 2-dimensional com...more

Prof. Mladen Bestvina (University of Utah)

**Video release**:

29 September 2021, 18:00

**Interactive session**:

20 October 2021, 18:30 to 19:15

Virtual colloquium

Asymptotic dimension is an analog of topological dimension in the large-scale context of geometric group theory. This talk will introduce asymptotic dimension, and describe some of its basic properties. One of the important aspects of the theory is to establish that several fin...more

Prof. Samit Dasgupta (Duke University) & Prof. Mahesh Kakde (Indian Institute of Science)

**Video release**:

09 February 2022, 18:00

**Interactive session**:

23 February 2022, 19:00 to 19:45

Virtual colloquium

Class field theory describes abelian extensions of a number field in terms of data intrinsic to the field. Hilbert’s 12th problem, or explicit class field theory, goes further and asks for explicit generators of abelian extensions of a number field as values of analytic funct...more

Prof. Noga Alon (Princeton University and Tel Aviv University)

**Video release**:

20 August 2021, 18:00

**Interactive session**:

20 September 2021, 18:00 to 18:45

Virtual colloquium

It is known that one can cut any open necklace with beads of t types in at most (k-1)t points and partition the resulting intervals into k collections, each containing the same number of beads of each type (up to 1). This number of cuts is optimal. I will discuss some...more

Prof. Siddhartha Mishra (ETH Zürich, Switzerland)

**Video release**:

21 July 2021, 18:00

**Interactive session**:

16 August 2021, 18:00 to 18:45

Virtual colloquium

In this talk, we will review some recent results on computing PDEs with deep neural networks. The focus will be on the design of neural networks as fast and efficient surrogates for PDEs. We will start with parametric PDEs and talk about novel modifications that enable standard...more

Tadashi Tokieda (Stanford University, USA)

**Video release**:

07 July 2021, 18:00

**Interactive session**:

20 July 2021, 12:00 to 12:45

Virtual colloquium

Humans tend to be better at physics than at mathematics. When an apple falls from a tree, there are more people who can catch it—we know physically how the apple moves—than people who can compute its trajectory from a differential equation. Applying physical ideas to ...more

Prof. Mikhail Lyubich (Stony Brook University)

**Video release**:

04 June 2021, 18:00

**Interactive session**:

23 June 2021, 18:00 to 18:45

Virtual colloquium

The MLC Conjecture, on local connectivity of the Mandelbrot set, is one of the central open problems in Holomorphic Dynamics. It turned out to be intimately related to many other geometric themes of the area: Fatou's Conjecture on the density of hyperbolicity, self-similarity f...more

Prof. Daniel T. Wise (McGill University, Canada)

**Video release**:

30 April 2021, 18:00

**Interactive session**:

19 May 2021, 18:00 to 18:45

Virtual colloquium

Cube complexes have come to play an increasingly central role within geometric group theory, as their connection to right-angled Artin groups provides a powerful combinatorial bridge between geometry and algebra. This talk will introduce nonpositively curved cube complexes, and...more

Prof. Karen E. Smith (University of Michigan)

**Video release**:

08 April 2021, 18:00

**Interactive session**:

08 April 2021, 18:30 to 19:15

Virtual colloquium

What is the most singular possible singularity? What can we say about its geometric and algebraic properties? This seemingly naive question has a sensible answer in characteristic p. The "F-pure threshold," which is an analog of the log canonical threshold, can be used to "meas...more

Scott Sheffield (Massachusetts Institute of Technology)

**Video release**:

10 February 2021, 18:00

**Interactive session**:

24 February 2021, 18:00 to 18:45

Virtual colloquium

In one of the simplest epidemic models, one lets p_n denote the number of new infections during week n and assumes that (during the early stages of the epidemic) p_{n+1} = R_0 p_n c_n where c_n measures the “fraction of usual contact” that takes place between people during the nth w...more

Prof. Alex Lubotzky (Einstein Institute of Mathematics, Hebrew University)

**Video release**:

13 January 2021, 18:00

**Interactive session**:

27 January 2021, 18:00 to 18:45

Virtual colloquium

Several well-known open questions (such as: are all groups sofic or hyperlinear?) have a common form: can all groups be approximated by asymptotic homomorphisms into the symmetric groups Sym(n) (in the sofic case) or the unitary groups U(n) ( in the hyperlinear case )?

In the ...more

Prof. Nalini Anantharaman (University of Strasbourg)

**Video release**:

09 December 2020, 18:00

**Interactive session**:

22 December 2020, 18:00 to 18:45

Virtual colloquium

We shall discuss mathematical forms of the uncertainty principle and its relationship with quantum unique ergodicity.

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Prof. Bernd Sturmfels (Max Planck Institute, Leipzig and University of California, Berkeley)

**Video release**:

18 November 2020, 18:00

**Interactive session**:

07 December 2020, 18:00 to 18:45

Virtual colloquium

This seminar spans a bridge between 19th century geometry to 21st century computing. We start with a classical theme that was featured in the January 2020 issue of the Notices of the American Mathematical Society, namely the 3264 conics that are tangent to five given conics in the plane. We discu...more

Prof. Yves Benoist (University of Paris-Saclay)

**Video release**:

28 October 2020, 18:00

**Interactive session**:

11 November 2020, 18:00 to 18:45

Virtual colloquium

In the seventies Harish-Chandra introduced the tempered representations of a semisimple real Lie group G as those that occur in the analog on G of the Fourier-Plancherel formula. Nowadays, those representations are ubiquitous.

In this talk we will recall their defini...more