## On the (Computational) Approximability of Quadratic Maximization over Convex Sets

Vijay Bhattiprolu

Member, School of Mathematics

September 22, 2020

Vijay Bhattiprolu

Member, School of Mathematics

September 22, 2020

Pablo Boixeda Alvarez

Member, School of Mathematics

September 22, 2020

Elia Bruè

Member, School of Mathematics

September 22, 2020

Laurent Côté

Member, School of Mathematics

September 22, 2020

Andrea Dotto

Member, School of Mathematics

September 22, 2020

Cheol-Hyun Cho

Seoul National University

September 21, 2020

For a weighted homogeneous polynomial and a choice of a diagonal symmetry group, we define a new Fukaya category based on wrapped Fukaya category of its Milnor fiber together with monodromy information. It is analogous to the variation operator in singularity theory. As an application, we formulate a complete version of Berglund-Hübsch homological mirror symmetry and prove it for two variable cases.

Petr Kravchuk

Member, School of Natural Sciences, IAS

September 18, 2020

In conformal field theory, in contrast to gapped theories, S-matrix is not well-defined. Similarly, various inclusive observables which make sense in a gapped theory, such as "energy squared" calorimeters, suffer from IR divergences in CFTs. Using the example of Wilson-Fisher theory, I will discuss how these observables can be renormalized and what is the physical meaning of their anomalous dimensions.

Daniel Juteau

Centre National de la Recherche Scientifique/Université Paris Diderot; Member, School of Mathematics

September 17, 2020

In this second talk about Broué’s Abelian Defect Group Conjecture, we will explain its geometric version in the case of finite groups of Lie type: the equivalence should be induced by the cohomology complex of Deligne-Lusztig varieties. This was actually the main motivation for the conjecture in the first place. We will illustrate those ideas with the case of SL(2,q).

Siyao Xu

IAS

September 17, 2020

Turbulence is ubiquitous in astrophysical media and plays an essential role in a variety of fundamental astrophysical processes. The turbulent power-law spectra have been observed in the solar wind, the interstellar medium, the intracluster medium, over a vast range of length scales. In our Galaxy, I will discuss pulsars as a unique tool for statistically studying the turbulence in the multi-phase interstellar medium over different ranges of length scales.

Rachel Somerville

Rutgers University; Flatiron Institute

September 15, 2020

Building genuinely a priori models of galaxy formation in a cosmological context is one of the grand challenges of modern astrophysics. Most large volume simulations of galaxy formation currently adopt phenomenological scaling relations to model "small scale" processes such as star formation, stellar feedback, and black hole formation, growth, and feedback, which limits their predictive power.