
John Lowengrub
Fri Jan 19, 2018
4:00 pm
Mathematical and computational modeling have become an indispensible component of research across the sciences. Nevertheless, there are still many examples of research across the sciences where decision making processes are strongly influenced by empirical approaches rather than theory. One of the primary challenges in developing...

Daniel O'Connor
Fri Jan 19, 2018
3:00 pm
Proximal algorithms offer state of the art performance for many large scale optimization problems. In recent years, the proximal algorithms landscape has simplified, making the subject quite accessible to undergraduate students. Students are empowered to achieve impressive results in areas such as image and signal processing, medical imaging, and...

Xiaowen Zhu
Fri Jan 19, 2018
2:00 pm
I will introduce the model and structure of the proof, and give the details next week.

Konstantin Tikhomirov
Thu Jan 18, 2018
4:00 pm
Convexgeometric methods, involving random projection operators and coverings, have been successfully used in the study of the largest and smallest singular values, delocalization of eigenvectors, and, among further applications, in establishing the limiting spectral distribution for certain random matrix models. Conversely, random linear...

Niccolo' Ronchetti
Thu Jan 18, 2018
3:00 pm
I will introduce the mod p derived spherical Hecke algebra of a padic group, and discuss its structure via a derived version of the Satake homomorphism. Then, I will survey some speculations about its action on the cohomology of arithmetic manifolds.

Daniel Litt
Wed Jan 17, 2018
4:00 pm
Let X be an algebraic variety  that is, the solution set to a system of polynomial equations. Then the fundamental group of X has several incarnations, reflecting the geometry, topology, and arithmetic of X. This talk will discuss some of these incarnations and the subtle relationships between them, and will describe an...

Jonathan Zhu
Tue Jan 16, 2018
4:00 pm
We describe the construction of closed constant mean curvature (CMC) hypersurfaces using minmax methods. In particular, our theory allows us to show the existence of closed CMC hypersurfaces of any prescribed mean curvature in any closed Riemannian manifold. This work is joint with Xin Zhou.