Loading Events

« All Events

  • This event has passed.

Sperner’s lemma: generalizations and applications (Oleg Musin, UT Rio Grande Valley)

December 4 @ 12:15 pm - 1:10 pm

The classical Sperner –  KKM (Knaster – Kuratowski – Mazurkiewicz) lemma has many applications  in combinatorics, algorithms, game theory and mathematical economics. In this talk we consider generalizations of this lemma as well as Gale’s colored KKM lemma and Shapley’s KKMS theorem. It is shown that spaces and covers can be much more general and the boundary KKM rules can be substituted by more weaker boundary assumptions. These generalizations of Sperner’s lemma rely on homotopy invariants of covers  that in fact are obstructions for extending a cover of a subspace A in X to a cover of  X.

Details

Date:
December 4
Time:
12:15 pm - 1:10 pm
Event Category:

Organizers

Lenny Fukshansky
Gizem Karaali

Other

Speaker Name
Oleg Musin (University of Texas Rio Grande Valley)

Venue

Millikan 2099, Pomona College
610 N. College Ave.
Claremont, CA 91711 United States
+ Google Map

Details

Date:
December 4
Time:
12:15 pm - 1:10 pm
Event Category:

Organizers

Lenny Fukshansky
Gizem Karaali

Other

Speaker Name
Oleg Musin (University of Texas Rio Grande Valley)

Venue

Millikan 2099, Pomona College
610 N. College Ave.
Claremont, CA 91711 United States
+ Google Map