Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, April 5, 2006.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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30


Wednesday, April 5, 2006

3:00 pm in 343 Altgeld Hall,Wednesday, April 5, 2006

#### T-duality and mirror symmetry

###### Sheldon Katz   [email] (UIUC Math and Physics)

Abstract: I will start with T-duality, which says that the string compactified on a circle of radius R is equivalent to the string compactified on a circle of radius 1/R in string units. This is extended to mirror symmetry, which identifies the "stringy geometry" of topologically distinct Calabi-Yau manifolds. This leads to a simple method for computing Gromov-Witten invariants of the quintic threefold.

4:00 pm in 245 Altgeld Hall,Wednesday, April 5, 2006

#### Modeling and Segmentation of Multivariate Mixed Data

###### Yi Ma (Department of Electrical and Computer Engineering, UIUC)

Abstract: In this talk, we address a fundamental problem in data analysis and processing: how to segment high-dimensional mixed data? We will discuss some new results regarding the use of subspace arrangements for modeling mixed data. We will also explain how some of the concepts from information theory can be used to study data segmentation. We will show how these new techniques can be applied to many problems in computer vision, image processing, and system biology.