Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, October 18, 2017.

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events for the
events containing

More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, October 18, 2017

3:00 pm in 243 AH,Wednesday, October 18, 2017

#### The Maxwell Bloch Equations in the Presence of Damping

###### Katelyn Leisman (UIUC)

Abstract: The Maxwell Bloch equations model the resonant interaction of an electric field with a two level medium. Typically, two relaxation terms are necessary to best model the physics, but in certain cases they can be ignored. In this talk, I will show numerical solutions with varying amounts of the relaxation terms. We find that when the relaxation terms are small relative to the size of the initial soliton pulse, the solution is a damped soliton. As the relaxation increases, the ripples of radiation accelerate away from the dying original pulse, forming a new precursor pulse. When the relaxation is very large, the original pulse dies almost instantaneously and the precursor pulse accelerates to the speed of light. In the limiting case of large relaxation, the equations accurately model experimental results measuring the total pulse delay of a laser pulse propagating through a beam of ruby.

4:00 pm in Altgeld Hall 141,Wednesday, October 18, 2017

#### Moment maps in Algebraic and Differential Geometry

###### Hadrian Quan   [email] (UIUC)

Abstract: In geometry, group actions are both ubiquitous and convenient. In this talk, I’ll survey an interesting circle of ideas relating notions of stability for orbits of an action to the complex geometry of the space being acted on. Time permitting, I’ll mention how some of this story generalizes after passing from finite to infinite dimensional groups.

4:00 pm in 245 Altgeld Hall,Wednesday, October 18, 2017

#### Writing an Effective Worksheet Panel

###### Scott Ahlgren, Hannah Burson, Stefan Klajbor, Itziar Ochoa de Alaiza, (Illinois Math)

Abstract: Have you ever wondered what makes a worksheet effective? What are the important aspects to consider when designing a worksheet for a large or small section? In this session we would like to open the conversation between experienced TA's and faculty on what are important aspects on writing a worksheet in different scenarios (large lecture, regular and Merit discussion). * This panel will count towards the requirement of Additional Teaching Development for the Center for Innovation in Teaching and Learning (CITL) certificates. You may bring your application or sign the attendance sheet provided at the event. (http://citl.illinois.edu/citl-101/teaching-learning/teaching-certificates/graduate-teacher-certificate)