In this talk, I will first introduce the Monge-Ampere eigenvalue problem on general bounded convex domains and related analysis. Then I will discuss the recent resolution, in joint work with Ovidiu Savin, of global smoothness of the eigenfunctions of the Monge-Ampere operator on smooth, bounded and uniformly convex domains in all dimensions. A key ingredient…
1. Beverly Setzer Title: Detecting Hidden Nodes in Neuronal Networks using Adaptive Filtering Abstract: The identification of network connectivity from noisy time series is of great interest in the study of network dynamics. This connectivity estimation problem becomes more complicated when we consider the possibility of hidden nodes within the network. These hidden nodes act…
Advised by Zhilin Li.
AMS will be hosting a special showing of Hidden Figures and provide pizza and other snacks.
We give a brief overview of factorization homology theory due to Ayala, Francis and Tanaka and explain how it leads to a (still mostly conjectural) generalization of graph homology to homotopy commutative algebras, and an efficient computation of knot invariants coming from factorization homology (at least for alternating links).
MGSA and AMS will be providing free Moes burritos to celebrate Cinco de Mayo and the end of the semester! All math grad students are welcome, but you must RSVP by Wednesday, May 3 at noon if you plan to eat a burrito. For info about how to RSVP, please email mgsa.ncstate@gmail.com. All math grad…
Advised by Agnes Szanto and Hamid Krim.
Advised by Michael Shearer.
The Math Graduation Ceremony for Spring 2017 will be held on Friday, May 12th at 3:00 pm in 2203 SAS Hall.
We will describe results on the center of the universal central extension of certain Krichever-Novikov algebras. In particular we will describe how various families of classical and non-classical orthogonal polynomials appear. We will also provide certain new identities of elliptic integrals. This material we will cover was obtained in joint work with V. Futorny, J.…
The g-stable Demazure modules are a lot of interest because of their connections to representation theory of quantum affine algebras. These modules are indexed by a pair (ell, lambda) where ell is a positive integer and lambda is a dominant integral weight of g and are denoted as D(ell,lambda). Naoi proves that for m>=ell, D(ell,lambda)…
New infectious disease outbreaks have great impact on communities over the world, as recently manifested by the Ebola outbreak. An important statistical task is then to predict the future scenario with and with out preventive measures. In the current talk we will investigate such analyses and see how it can be improved. The main catch…
Advised by Bojko Bakalov.
Advised by Kazufumi Ito.
Advised by Mette Olufsen.
At 3:45 we will have ice cream in SAS 4104.
Khovanov homology is a recent link invariant that lifts the Jones polynomial. We analyze torsion in Khovanov homology by describing a related homology theory that lifts the chromatic polynomial. In particular, we describe torsion in Khovanov homology of several link families and compute the fourth extreme coefficients of the Jones polynomial for certain links.