Seminars and Colloquiums
for the week of January 28, 2019
Jie Xiong, Southern University of Science & Technology, PRC
Thi-Thao-Phuong Hoang, Auburn University
Farzana Nasrin, University of Tennessee
Christos Mantoulidis, Massachusetts Institute of Technology
Danielle Burton and Athma Senthilnathan
Saturday & Sunday, Feb. 2 & 3
GEOMETRIC TOPOLOGY WORKSHOP
3:00 PM – 3:30 PM
Tuesday & Wednesday
Room: Ayres 401
Hosted by: Anne Ho
Topics: Tips for job searching; internships and summer opportunities; weekly check-in (a time for students and faculty to discuss current happenings of the Mathematics Department and share any concerns or ideas).
POSTPONED - STOCHASTICS/PROBABILITY SEMINAR
TITLE: Stackelberg game with partial information
SPEAKER: Jie Xiong, Southern University of Science & Technology, PRC
TIME: 2:10 PM-3:25 PM
ROOM: Ayres 114
This talk is concerned with a leader-follower stochastic differential game with asymmetric information, where the information available to the follower is based on some sub-$\sigma$-algebra of that available to the leader. Such kind of game problems has wide applications in finance, economics and management engineering such as newsvendor problems, cooperative advertising and pricing problems. Stochastic maximum principles and verification theorems with partial information will be presented. As an application, a linear-quadratic leader-follower stochastic differential game with asymmetric information is studied. It is shown that the open-loop Stackelberg equilibrium admits a state feedback representation if some system of Riccati equations is solvable. This talk is based on a joint work with Shi and Wang.
PDE/CAM JOINT SEMINAR
TITLE: Domain Decomposition and Local Time-Stepping Methods For Numerical Solution of Evolution Equations and Their Applications
SPEAKER: Thi-Thao-Phuong Hoang, Auburn University
TIME: 3:35 PM-4:25 PM
ROOM: Ayres 113
Due to the development of multiprocessor supercomputers and parallel computing, domain decomposition (DD) methods have become a powerful tool for numerical simulation of large-scale problems. As many physical and engineering processes are described by evolution partial differential equations, extensions of DD methods to dynamic systems (i.e. those changing with time) have been a subject of great interest. Moreover, for applications in which the time scales vary considerably across the whole domain due to changes in the physical properties or in the spatial grid sizes, it is critical and computationally efficient to design DD methods which allow the use of different time step sizes in different subdomains. In this talk, we will introduce mathematical concepts of DD methods for evolution equations and present our recent work in this direction, including: i) DD methods in mixed formulations with applications related to groundwater flow and contaminant transport in fractured porous media, and ii) conservative, explicit, local time-stepping algorithms for shallow water equations. Both mathematical analysis and numerical performance of these methods will be investigated.
TITLE: Statistics, Topology and Machine Learning for Data Analysis
SPEAKER: Farzana Nasrin, University of Tennessee
TIME: 3:40 PM-4:35 PM
ROOM: Ayres 405
Analyzing and classifying large and complex datasets are generally challenging. Topological data analysis, that builds on techniques from topology, is a natural fit for this. Persistence diagram is a powerful tool originated in topological data analysis that allows retrieval of important topological and geometrical features latent in a dataset. Data analysis and classification involving persistence diagrams have been applied in numerous applications such as action recognition, handwriting analysis, shape study, image analysis, sensor network, and signal analysis. In this talk I will provide a brief introduction of topological data analysis, focusing primarily on persistence diagrams. The goal is to provide a supervised machine learning algorithm, the classification, on the space of persistence diagrams. This framework is applicable to a wide variety of datasets. I will present applications in material science, specially classification of crystal structures of High Entropy Alloys.
GEOMETRIC ANALYSIS SEMINAR
TITLE: Positive scalar curvature with skeleton singularities
SPEAKER: Christos Mantoulidis, Massachusetts Institute of Technology
TIME: 5:10 PM-6:25 PM
ROOM: Ayres 113
This is joint work with Chao Li. We study positive scalar curvature on the regular part of Riemannian manifolds with singular, uniformly Euclidean metrics that consolidate Gromov's scalar curvature polyhedral comparison theory and edge metrics that appear in the study of Einstein manifolds. We show that, in all dimensions, edge singularities with cone angles <= 2 pi along codimension-2 submanifolds do not affect the Yamabe type. In three dimensions, we prove the same for more general singular sets, which are allowed to stratify along 1-skeletons, exhibiting edge singularities (angles <= 2 pi) and arbitrary L^\infty isolated point singularities.
MATH BIOLOGY SEMINAR
SPEAKER: Danielle Burton and Athma Senthilnathan
TIME: 11:15 AM-12:05 PM
ROOM: Ayres 401
We will continue discussing the paper by Paul Hurtado and Adam Kirosingh titled "Generalizations of the ‘Linear Chain Trick’: Incorporating more flexible dwell time distributions into mean field ODE models" being presented by Danielle Burton and Athma Senthilnathan. Then, for next week's seminar on Feb. 8th we will host Dr. Paul Hurtado, a co-author of the paper, to discuss the work in person. If you are interested in being added the Math Biology Seminar 'BaseCamp' site to receive notices and seminar materials directly, please contact Judy Day at firstname.lastname@example.org.
Saturday, 2/2 and Sunday, 2/3
UTK GEOMETRIC TOPOLOGY WORKSHOP
SPEAKERS: Greg Bell, University of North Carolina at Greensboro
Nikolay Brodskiy, University of Tennessee
Talia Fernos, University of North Carolina at Greensboro
Pawel Grzegrzolka, University of Tennessee
Matt Haulmark, Vanderbilt University
Mike Mihalik, Vanderbilt University
Conrad Plaut, University of Tennessee
Christopher Pritchard, University of North Carolina at Greensboro
Jeremy Siegert, University of Tennessee
Thomas Weighill, University of Tennessee
TIME: 2:00 PM-6:00 PM on Saturday, 8:00 AM-1:00 PM on Sunday
ROOM: Ayres 405
More information will be provided early next week.
If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar.
If you have questions, or a date you would like to confirm, please contact email@example.com