Algebra and Number Theory Seminar Winter 2017
Friday, January 13, 2017
"Nearest Points on Toric Varieties"
Martin Helmer, University of California, Berkeley
We determine a combinitorial expression for the Euclidean distance degree of a projective toric variety. This extends the formula of Matsui and Takeuchi for the degree of the A-discriminant in terms of local Euler obstructions. Our primary goal is the development of reliable algorithmic tools for computing the points on a real toric variety that are closest to a given data point. This also leads to combinatorial expressions for the polar degrees, the degree and codimension of the dual variety, and the Chern-Mather class of a projective toric variety. This is joint work with Bernd Sturmfels.
January 20, 2017
January 27, 2017
February 3, 2017
February 10, 2017
February 17, 2017
"Loewy Lengths of Centers of Blocks"
Burkhard Külshammer, University of Jena, Germany
In my talk I will report on bounds for the Loewy lengths of centers of blocks recently obtained by Y. Otokita, B. Sambale and myself.
February 24, 2017
March 3, 2017
March 10, 2017
March 17, 2017
March 24, 2017