**Seminars and Colloquiums**

for the week of February 1, 2016

for the week of February 1, 2016

*SPEAKER:*

Mark Bly, UTK, Monday

Jan Rosinski, UTK, Tuesday

Richard Barnard, ORNL, Wednesday

Logan Perry, UTK, Thursday

Rebecca Pettit, UTK, Thursday

Grace McClurkin & Josh Mike, UTK, Thursday

Stefan Richter, UTK , Friday

*TEA TIME
3:00 – 3:30 pm, Ayres 401
Monday, Tuesday, & Wednesday
Hosted by Tricia Phillips and Cara Sulyok, UTK*

**Monday, February 1st**

GEOMETRY AND TOPOLOGY SEMINAR

TITLE: Introduction to Algebraic Geometry

SPEAKER: Mark Bly, UTK

TIME: 2:30pm – 3:20pm

ROOM: Ayres 113

This talk will focus on basics of algebraic geometry. The goal will be to deliver a general feel for the area through a description of its various features, strengths, and weaknesses, as well as its peculiarities and similarities as compared to other areas (especially geometry/topology). Emphasis will be on explanation and example rather than detailed proof.

**Tuesday, February 2nd **

STOCHASTICS

TITLE: Organizational Meeting

SPEAKER: Jan Rosinski, UTK

TIME: 2:10pm – 3:25pm

ROOM: Ayres 114

**Wednesday, February 3rd**

COMPUTATIONAL AND APPLIED MATHEMATICS SEMINAR

TITLE: Multiswitching and Volumetric Dose Penalizations for Optimal Control of PDE’s

SPEAKER: Richard Barnard, ORNL

TIME: 3:35pm – 4:35pm

ROOM: Ayres 114

This talk will discuss two novel optimal control problems governed by partial differential equations (PDEs). The first problem is one where a control signal has several different input channels, however only one should be active at any time; such a control is called a multiswitching control. The second involves a problem where the volume of the region where the state exceeds a given value should be minimized; this is in contrast to a standard pointwise box constraint and corresponds to a constraint on the state’s cumulative histogram. This problem involves a volumetric dose penalization, as it is motivated by a problem in radiotherapy. In each case, we will discuss convex-analysis techniques for solving these problems, as well as numerical implementations.

**Thursday, February 4th**

MATH ECOLOGY/ EVOLUTION SEMINAR

SPEAKER: Logan Perry

TIME: 10:00am – 11:00am

ROOM: Ayres 404

Chapter 3 of Bowles & Gintis book “Cooperative Species”

DIFFERENTIAL EQUATIONS SEMINAR

TITLE: Modeling an Invasive Species in a River and Using Optimal Control for Management

SPEAKER: Rebecca A Pettit, UTK

TIME: 2:10pm – 3:25pm

ROOM: Ayres 114

Many past models for river species have either focused on population dynamics or river dynamics. I will be discussing the origin of a model built to incorporate time-dependent river flow with population dynamics. I will then discuss how to find the optimal control for this model.

GRADUATE STUDENT SEMINAR

TITLE:

SPEAKER: Grace McClurkin and Josh Mike, UTK

TIME: 3:40pm – 4:30pm

ROOM: Ayres G004

We will describe how we are using Mathematica to supplement both the in-class and out-of-class experiences of students enrolled in a flipped format multivariable calculus course. In particular, we will focus on the course design including notes, guided pre-class practice and structured group work.

**Friday, February 5th**

ANALYSIS SEMINAR

TITLE: Functions as quotients of multipliers, II

SPEAKER: Stefan Richter, UTK

TIME: 2:30pm - 3:20pm

ROOM: Ayres 121

It follows from a classical theorem of F. Riesz that every function in the Hardy space H^2 can be written as a quotient of two bounded analytic functions. I will discuss analogues of this result in spaces other than H^2.

*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:**