Applied Algebra Seminar Spring 2020

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Revision as of 14:10, 10 February 2020 by Jose (talk | contribs) (Spring 2020 Schedule)
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When: 11:00am, Thursdays

Where: 901 Van Vleck Hall

List: mathaas@lists.wisc.edu, to join email join-mathaas@lists.wisc.edu

Contact: Shamgar Gurevich, Jose Israel Rodriguez

Remark: We usually have a gap of around 2-3 weeks between seminars.


Spring 2020 Schedule

date speaker title host(s)
February 20 Carla Michini (UW Madison) Short simplex paths in lattice polytopes Local
February 27
March 5
March 12
March 19 Spring Break
March 26
April 2
April 9
April 16 Reserved] Jose
April 23

Abstracts

Carla Michini

Short simplex paths in lattice polytopes

We consider the problem of optimizing a linear function over a lattice polytope P contained in [0,k]^n and defined via m linear inequalities. We design a simplex algorithm that, given an initial vertex, reaches an optimal vertex by tracing a path along the edges of P of length at most O(n^6 k log k). The length of this path is independent on m and is the best possible up to a polynomial function, since it is only polynomially far from the worst case diameter. The number of arithmetic operations needed to compute the next vertex in the path is polynomial in n, m and log k. If k is polynomially bounded by n and m, the algorithm runs in strongly polynomial time. This is a joint work with Alberto Del Pia.


Other events to note

date event/title speaker
February 7 Talk: Inverse Problems, Imaging and Tensor Decomposition Joe Kileel (Princeton)
February 10 Talk: Matroids, log-concavity, and expanders Cynthia Vinzant (NCSU)