Seminar Calendar
for events the day of Monday, February 27, 2017.

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Monday, February 27, 2017

Math 499: Introduction to Graduate Mathematics
4:00 pm   in 245 Altgeld Hall,  Monday, February 27, 2017
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Submitted by laugesen.
Hal Schenck (Department of Mathematics, University of Illinois)
Algebra, Combinatorics, Geometry
Abstract: I'll give an overview of the spectacular success of algebraic methods in studying problems in discrete geometry and combinatorics. First we'll discuss the face vector (number of vertices, edges, etc.) of a convex polytope and recall Euler's famous formula for polytopes of dimension 3. Then we'll discuss graded rings, focusing on polynomial rings and quotients. Associated to a simplicial polytope P (every face is "like" a triangle) is a graded ring called the Stanley-Reisner ring, which "remembers" everything about P, and gives a beautiful algebra/combinatorics dictionary. I will sketch Stanley's solution to a famous conjecture using this machinery, and also touch on connections between P and toric varieties, which are objects arising in algebraic geometry.

Symplectic and Poisson Geometry Seminar
4:00 pm   in 243 Altgeld Hall,  Monday, February 27, 2017
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Submitted by icontrer.
Jean Gutt (University of Georgia)
"The minimal number of periodic Reeb orbits as a cuplength
Abstract: I will present the recent result with P.Albers and D.Hein that every graphical hypersurface in a prequantization bundle over a symplectic manifold M pinched between two circle bundles whose ratio of radii is less than \sqrt{2} carries either one short simple periodic orbit or carries at least cuplength(M)+1 simple periodic Reeb orbits.

Operator Algebra Learning Seminar
5:00 pm   in 241 Altgeld Hall,  Monday, February 27, 2017
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Submitted by clinden2.
Chris Linden (UIUC Math)
Quasidiagonality of Nuclear C*-Algebras
Abstract: We continue from last time with Schafhauser's proof.