**Seminars and Colloquiums**

for the week of March 27, 2017

for the week of March 27, 2017

*SPEAKER:*

Daniel Ramras, Indiana University-Purdue University, Monday

Delong Li, UTK, Monday

Eddie Tu, UTK, Tuesday

Andrew Starnes, UTK, Wednesday

Brian Allen, West Point Academy, New York, Thursday

*TEA TIME -
3:00 pm – 3:30 pm
Monday - Wednesday: Ayres 401
*

*Hosted by: TBA*

**Monday, March 27, 2017**

TOPOLOGY/GEOMETRY SEMINAR

TITLE: Relative hyperbolicity and decomposition complexity of metric spaces

SPEAKER: Daniel Ramras, Indiana University-Purdue University

TIME: 2:30pm-3:20pm

ROOM: 113 Ayres

Abstract: I'll explain a general method for extending metric properties from peripheral subgroups of a relatively hyperbolic group to the entire group,
following work of Osin, Dadarlat, and Guentner. As I'll explain, this method is applicable to several versions of decomposition complexity.
This is joint work with Bobby Ramsey.

ALGEBRA SEMINAR

TITLE: Rings of Witt vectors

SPEAKER: Delong Li, UTK

TIME: 3:35pm-4:25pm

ROOM: 113 Ayres

Abstract: In this talk, we will construct the ring of Witt vectors and describe its main properties. Let p be a prime number.
Let A be a commutative ring of characteristic p. Let m be a positive integer. Consider the set of m-tuples with components in A.
We will define a new addition and multiplication on this set. This gives a ring, called the ring of Witt vectors of length m over A.

**Tuesday, March 28, 2017**

STOCHASTICS/ PROBABILITY SEMINAR

TITLE: Special dependence structures in Markov processes: Part II

SPEAKER: Eddie Tu, UTK

TIME: 2:10pm-3:25pm

ROOM: 113 Ayres

Abstract: Last week, we discussed various forms of dependence, such as association, supermodular dependence, and orthant dependence, and their characterizations
for infinitely divisible distributions. This week, we will examine these different dependence structures in Feller Markov processes.
These processes have behavior that is “locally infinitely divisible-like,” and arise as solutions to stochastic differential equations.
We will go through a wide range of tools in analysis and probability, including pseudo-differential and integro-differential operators and small-time
asymptotics, to help us characterize the dependence structures in these stochastic processes. Finally, we will show applications to stochastically monotone
Feller Markov processes.

** Wednesday, March 29, 2017 **

ANALYSIS SEMINAR

TITLE: Time-Changed Schramm-Loewner Evolution

SPEAKER: Andrew Starnes, UTK

TIME: 2:30pm – 3:20pm

ROOM: Ayres 113

Abstract: The Schramm-Loewner Evolution is a family of random curves generated by a constant times Brownian motion.
For some constants the curves are simple a.s. and for others the curves are nonsimple a.s. In this talk, we will investigate what happens
to the SLE hulls when we time-change Brownian motion by the inverse of an (a,k)-tempered stable subordinator.

This talk is based on joint work with David Horton, Kei Kobayashi, and Joan Lind.

**Thursday, March 30, 2017 **

DIFFERENTIAL EQUATIONS SEMINAR

TITLE: Inverse Mean Curvature Flow and the Stability of the Positive Mass
Theorem

SPEAKER: Brian Allen, West Point Academy, New York

TIME: 2pm – 3pm

ROOM: Ayres 113

Abstract: In 2001, Huisken and Ilmanen showed how to prove, among other
things, the Positive Mass Theorem (PMT) for asymptotically flat manifolds
using weak solutions to Inverse Mean Curvature Flow (IMCF). The rigidity
statement was also proved but the stability statement was stated as a
conjecture. Since then many people have worked on special cases of the
stability of the PMT but the problem remains open. In this talk we will
discuss work in progress with Christina Sormani on how we can use IMCF to address the problem of the stability of the PMT.

*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 colloquium AT math DOT utk DOT edu *

**Past notices:**

3/13/17 - Spring Break

Winter Break