## Trjitzinsky Memorial Lectures

Spring 2012

### Robert Ghrist

University of Pennsylvania

**Sheaves and the Global Topology of Data**

This lecture series concerns Applied Mathematics -- the taming and tuning of mathematical structures to the service of problems in the sciences. The mathematics to be harnessed comes from algebraic topology -- specifically, sheaf theory, the study of local-to-global data. The applications to be surveyed are in the engineering sciences, but are not fundamentally restricted to such. Beginning with a gentle introduction to algebraic topology and its modern applications, the series will focus on sheaves and their recent utility in sensing, coding, optimization, and inference. No prior exposure to sheaves required.

Robert Ghrist is the Andrea Mitchell Penn Integrating Knowledge Professor in the Departments of Mathematics and Electrical/Systems Engineering at the University of Pennsylvania. He was named one of Scientific American magazine's "Top 50 Innovators" for research in 2007. Ghrist is a leading expert in using tools from topology and geometry to study abstract spaces and solve real-world problems.

##### Lecture 1: Tuesday, March 6, 2012, 314 Altgeld Hall, 4:00 p.m.

A reception will immediately following this lecture.

Lecture 2: Wednesday, March 7, 2012, 245 Altgeld Hall, 4:00 p.m.

Lecture 3: Thursday, March 8, 2012, 245 Altgeld Hall, 4:00 p.m.

The Trjitzinsky Memorial Lecture Series, held annually, honors the memory of Professor Waldemar J. Trjitzinsky who came to the United States from Russia, and taught and researched in the Department of Mathematics at the University of Illinois from 1934 to 1969. The lecture series began in 1978 and was made possible from the gifts of Trjitzinsky's former Ph.D. students; Bing K. Wong, one of Trjitzinsky's students was the person responsible for setting up the Trjitzinsky fund. Each series of three lectures is aimed at a general mathematical public and graduate students.