# Analysis Seminar

## 2017-2018

Time Location Seminar Chair
Tuesdays 9:45am AP&M 7421 Andrej Zlatos

### Fall 2017

Date Speaker Title + Abstract
September 27
(Wed) at 3pm
Yuan Yuan
Syracuse University
Diameter rigidity for Kahler manifolds with positive bisectional curvature
I will discuss the recent work with Gang Liu on the diameter rigidity for Kahler manifolds with positive bisectional curvature.
October 24 Igor Kukavica
USC
On the size of the nodal sets of solutions of elliptic and parabolic PDEs
We present several results on the size of the nodal (zero) set for solutions of partial differential equations of elliptic and parabolic type. In particular, we show a sharp upper bound for the $(n-1)$-dimensional Hausdorff measure of the nodal sets of the eigenfunctions of regular analytic elliptic problems in ${\mathbb R}^n$. We also show certain more recent results concerning semilinear equations (e.g. Navier-Stokes equations) and equations with non-analytic coefficients. The results on the size of nodal sets are connected to quantitative unique continuation, i.e., on the estimate of the order of vanishing of solutions of PDEs at a point. The results on unique continuation are joint with Ignatova and Camliyurt.
October 31 In-Jee Jeong
Princeton University
TBA
November 7 Hantaek Bae
UNIST
TBA
November 14 Hung Tran
TBA
November 28 Yifeng Yu
UC Irvine
TBA
December 5 Georgios Moschidis
Princeton University
TBA

### Winter 2018

Date Speaker Title + Abstract
January 9 Gautam Iyer
CMU
TBA
January 16 Peter Hintz
UC Berkeley
TBA
January 23 Michele Coti-Zelati
Imperial College
TBA
February 6 Ben Dodson
JHU
TBA
February 27 Hao Jia
University of Minnesota
TBA
March 6 Hanlong Fang
Rutgers University
TBA

### Spring 2018

Date Speaker Title + Abstract
April 10 Katya Krupchyk
UC Irvine
TBA
April 17 Anna Mazzucato
Penn State
TBA