# Video Lectures

### Introduction to Natural Quasirandomness: Unique Colorability and Order-ability

The theory of graph quasirandomness studies sequences of graphs that "look like" samples of the Erdős--Rényi random graph. The upshot of the theory is that several ways of comparing a sequence with the random graph turn out to be equivalent. For...

### Simultaneous Small Fractional Parts of Polynomials

Given several real numbers α1,...,αk, how well can you simultaneously approximate all of them by rationals which each have the same square number as a denominator? Schmidt gave a clever iterative argument which showed that this can be done...

### Smoothed Complexity of Local Max-Cut with Two Flips

Many algorithms and heuristics that work well in practice have poor performance under the worst-case analysis, due to delicate pathological instances that one may never encounter. To bridge this theory-practice gap, Spielman and Teng introduced the...

### Partition Functions of Abelian Chern-Simons Theories on Handlebodies

This talk reviews the use of radial quantization to compute Chern-Simons partition functions on handlebodies of arbitrary genus. The partition function is given by a particular transition amplitude between two states which are defined on the Riemann...

### Lagrangian cobordisms, enriched knot diagrams, and algebraic invariants

We introduce new invariants to the existence of Lagrangian

cobordisms in R^4. These are obtained by studying holomorphic disks

with corners on Lagrangian tangles, which are Lagrangian cobordisms

with flat, immersed boundaries.

We...

### Cohomological Automorphic Representations on Unitary Groups

Rahul Dalal

Consider the family of automorphic representations on some unitary group with fixed (possibly non-tempered) cohomological representation π0 at infinity and level dividing some finite upper bound. We compute statistics of this family as the level...

### Polar Disks and Planets Around Eccentric Orbit Binaries

Misaligned disks in binaries were commonly thought to evolve to a coplanar
state. However, recent theory and observations have surprisingly shown that disks around
eccentric orbit binaries can evolve to a polar state in which the disk is...

### Verlinde Dimension Formula for the Space of Conformal Blocks and the moduli of G-bundles III

Let G be a simply-connected complex semisimple algebraic group and let C be a smooth projective curve of any genus. Then, the moduli space of semistable G-bundles on C admits so called determinant line bundles. E. Verlinde conjectured a remarkable...

### Geometric Measure Theory on non smooth spaces with lower Ricci curvature bounds

Daniele Semola

There is a celebrated connection between minimal (or constant mean curvature) hypersurfaces and Ricci curvature in Riemannian Geometry, often boiling down to the presence of a Ricci term in the second variation formula for the area. The first goal...

### The All-Sky Automated Survey for Supernovae (ASAS-SN)

Ben Shappee

For the first time, the entire visible sky is being surveyed for the violent, variable, and transient events that shape our universe by the All-Sky Automated Survey for Supernovae (ASAS-SN). Combined, ASAS-SN, Asteroid Terrestrial-impact Last Alert...