Department of

Mathematics


Seminar Calendar
for events the day of Monday, April 30, 2018.

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Monday, April 30, 2018

3:00 pm in 243 Altgeld Hall,Monday, April 30, 2018

Ice cream geometry: a mathematical activity and coloring book

Melinda Lanius (UIUC)

Abstract: Have you ever wondered how computers do geometry? Come find out! We'll color a souped-up color-by-numbers to develop a general notion of circle and ball. Sketch some curves in geodesic connect-the-dots to see what happens when straight lines bend. Meander through `metric' mazes to appreciate the wonky ways of non-homogenous spaces. Feel free to bring pens and pencils in a wide variety of colors. They'll come in handy!

4:00 pm in 245 Altgeld Hall,Monday, April 30, 2018

Symplectic Geometry and Categorification

James Pascaleff   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: "Categorification" is a term that refers to the program to enhance known mathematical structures, such as numerical invariants, into more refined structures involving categories. An important example is the realization of the Jones polynomial of a knot as the Euler characteristic of a homology theory (the Khovanov homology). While there are many approaches to categorification in this sense, I will describe how symplectic manifolds and their Lagrangian submanifolds arise as the geometry underlying a range of categorification procedures.