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Department Colloquium

Organizers: Mohammed Abouzaid, Amir Dembo (Fall & Winter Quarters), and Kannan Soundararajan (Spring Quarter)

Upcoming Events

Nov
14
Date4:30 PM
Location
380Y
Speaker
Eliran Subag

Abstract

Dec
05
Date4:30 PM
Location
380Y
Speaker
Lu Wang

Abstract

Past Events

Oct
31
Date4:30 PM
Location
380Y
Speaker
Pierrick Bousseau (University of Georgia)

Modular forms are complex analytic functions with striking symmetries, which play fundamental role in number theory. In the last few decades there have been a series of astonishing predictions from theoretical physics that various basic mathematical numbers when put in a generating…

Oct
28
Date2:30 PM
Location
Note alternate location: 380Y
Speaker
Kevin Buzzard (Imperial College)

Computer theorem provers (which know the axioms of mathematics and can check proofs) have existed for decades, but it's only recently that they have been noticed by mainstream mathematicians. Modern work of Tao, Scholze and others has now been taught to Lean (one of these systems), and (…

Oct
10
Date4:30 PM
Location
380Y
Speaker
Ziquan Zhuang (Johns Hopkins, Clay Math. Inst.)

Around 10 years ago, Donaldson and Sun discovered that metric limits of Ricci positive Kähler–Einstein manifolds are algebraic varieties, and their metric tangent cones also underlie some algebraic structure. I will talk about a general algebraic geometry theory behind this phenomenon. In…

Sep
26
Date4:30 PM
Location
380Y
Speaker
Amol Aggarwal (Columbia)

Random surfaces are central paradigms in equilibrium statistical mechanics. As these surfaces become larger, their statistical behaviors become strongly dependent on how their boundaries are pinned down. This can lead to phase transitions, such as facet edges separating a flat region of the…

May
30
Date4:30 PM
Location
380Y
Speaker
Huy Pham (Stanford)

A major goal of additive combinatorics is to understand the structures of subsets A of an abelian group G which has a small doubling K = |A+A|/|A|. Freiman's celebrated theorem first provided a structural characterization of sets with small doubling over the integers, and subsequently Ruzsa in…

May
23
Date4:30 PM
Location
380Y
Speaker
Hannah Larson (UC Berkeley)

The moduli space M_g of genus g curves (or Riemann surfaces) is a central object of study in algebraic geometry. Its cohomology is important in many fields. For example, the cohomology of M_g is the same as the cohomology of the mapping class group, and is also related to spaces of modular forms…

Apr
04
Date4:30 PM
Location
380Y
Speaker
Gavril Farkas (Humboldt-Universität zu Berlin)

Determining the structure of the equations of an algebraic curve in its canonical embedding (given by its holomorphic forms) has been a central question in algebraic geometry from the beginning of the subject. In 1984 Mark Green put forward a very elegant conjecture linking the complexity of the…

Jan
19
Date3:00 PM
Location
380W
Speaker
Cole Graham (Brown)

The world teems with examples of invasion, in which one steady state spatially invades another. Invasion can even display a universal character: fine details recur in seemingly unrelated systems. Reaction-diffusion equations provide a mathematical framework for these phenomena. In this talk…

Jan
11
Date4:30 PM
Location
380Y
Speaker
Svitlana Mayboroda (ETH Zurich and University of Minnesota)

Abstract: 

Harmonic measure is the probability that a Brownian traveler starting from the center of the domain exists through a particular portion of the boundary. It is a fundamental concept at the intersection of PDEs, probability, harmonic analysis, and geometric measure theory,…

Jan
10
Date4:00 PM
Location
380W
Speaker
Hyunju Kwon (ETH)

In the study of fluid dynamics, turbulence poses a significant challenge in predicting fluid behavior, and it remains a mystery for mathematicians and physicists alike. Recently, there has been some exciting progress in our understanding of ideal turbulence: starting from Onsager’s theorem…