
Nicolaos Kapouleas
Thu Oct 22, 2015
4:00 pm
Abstract:
I will discuss various geometric gluing constructions. First I will discuss constructions for Constant Mean Curvature hypersurfaces in Euclidean spaces including my earlier work for twosurfaces in threespace which settled the Hopf conjecture for surfaces of genus two and higher, and recent generalizations in collaboration with...

Rodrigo Banuelos
Thu Oct 15, 2015
4:00 pm
Abstract

Yanyan Li
Thu Apr 16, 2015
4:00 pm
The mathematical problem of gradient estimates for solutions of divergence form elliptic systems with piecewise smooth coefficients arises in studying composite materials in applied science.
We will start with ideas in joint works with Vogelius (2000) and Nirenberg (2003) about a decade ago, in particular an open problem in the paper with...

Michael Bjorklund
Thu Apr 9, 2015
4:00 pm
After briefly reviewing some basic aspects of quantum
probability theory, especially questions surrounding a
celebrated theorem of Gleason, we turn to analogues of
quantum probabilities studied in symplectic geometry
known as quasistates, which are functions on Lie algebras
which are linear on abelian subalgebras.
A prototypical (and well...

R. Carmona
Thu Apr 2, 2015
4:00 pm
After discussing a few examples of herding and flocking, we review the mean field game paradigm as introduced by Lasry and Lions. Using a probabilistic reformulation of the problem, we demonstrate how the solutions of these models can be identified with solutions of forward  backward stochastic differential equations (FBSDEs) of McKeanVlasov...

Alan Newell
Thu Mar 5, 2015
4:00 pm
Phyllotaxis, the arrangement of phylla (leaves, bracts, seeds) near the shoot apical meristems of plants has intrigued and mystified natural scientists for over two thousand years. It is surprising that only within the last two decades have quantitative explanations emerged that describe the wonderful architectures which are observed. I will give...

Xiaojun Huang
Thu Feb 26, 2015
4:00 pm
We discuss the global property of a local holomorphic isometry into the product of projective spaces. We prove global extension and rigidity properties for such a map when the source is a Hermitian symmetric space of compact type. Our work is along the lines of the previous work of Calabi, ClozelUllmo and Mok.
This is a joint work with Yuan...