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DTSTART;TZID=America/Los_Angeles:20181204T121500
DTEND;TZID=America/Los_Angeles:20181204T131000
DTSTAMP:20260411T022111
CREATED:20180817T150812Z
LAST-MODIFIED:20181116T225428Z
UID:441-1543925700-1543929000@colleges.claremont.edu
SUMMARY:Sperner's lemma: generalizations and applications (Oleg Musin\, UT Rio Grande Valley)
DESCRIPTION: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.
URL:https://colleges.claremont.edu/ccms/event/tba-2/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20181211T121500
DTEND;TZID=America/Los_Angeles:20181211T131000
DTSTAMP:20260411T022111
CREATED:20181017T000951Z
LAST-MODIFIED:20181205T171813Z
UID:915-1544530500-1544533800@colleges.claremont.edu
SUMMARY:The Bateman—Horn conjecture II:  applications (Stephan Garcia\, Pomona)
DESCRIPTION:We begin with a review of the Bateman—Horn conjecture\, which sheds light on the intimate relationship between polynomials and prime numbers.  In this expository talk\, we survey a host of applications of the conjecture.  For example\, Landau’s conjecture\, the twin prime conjecture\, and the Green—Tao theorem are all consequences of the Bateman—Horn conjecture.  Moreover\, the conjecture also illuminates the mysterious patterns observed in the Ulam spiral.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-stephan-garcia-pomona/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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