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DTSTART;TZID=America/Los_Angeles:20240924T121500
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DTSTAMP:20260507T164346
CREATED:20240825T022324Z
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SUMMARY:Presentations of derived categories (Reginald Anderson\, CMC)
DESCRIPTION:A modification of the cellular resolution of the diagonal given by Bayer-Popescu-Sturmfels gives a virtual resolution of the diagonal for smooth projective toric varieties and toric Deligne-Mumford stacks which are a global quotient of a smooth projective variety by a finite abelian group. In the past year\, Hanlon-Hicks-Lazarev gave a minimal resolution of the diagonal for toric subvarieties of smooth projective toric varieties. We give implications for exceptional collections on smooth projective toric Fano varieties in dimensions 1-4. This is joint work with CMC undergrads Justin Son\, Hill Zhang\, and Jumari Querimit-Ramirez.
URL:https://colleges.claremont.edu/ccms/event/localization-techniques-in-equivariant-cohomology-reginald-anderson-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTAMP:20260507T164346
CREATED:20240921T190045Z
LAST-MODIFIED:20240921T190045Z
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SUMMARY:A polyhedral view of refined q-t Catalan numbers (Max Hlavacek\, Pomona College)
DESCRIPTION:Title: A polyhedral view of refined q-t Catalan numbers \nSpeaker: Max Hlavacek Assistant Professor of Mathematics and Statistics department\, Pomona College\, Claremont \nAbstract: Many problems in algebraic combinatorics have geometric objects lurking in the background\, and bringing these objects forward can shed some light on the original problem.  We begin with an introduction to polyhedral cones and their connection to multivariable generating functions.  Then\, we pivot and introduce Catalan-Minggatu numbers and some of their generalizations\, including refined q-t Catalan numbers\, first introduced by Xin and Zhang in 2022. Finally\, we take a look at the polyhedral cones underlying these objects and see how these geometric objects can give us insight into open problems about refined q-t Catalan numbers. \nBio: Max Hlavacek is a Visiting Assistant Professor in the mathematics and statistics department at Pomona College.  Previously\, they were a graduate student at UC Berkeley and an undergraduate student at Harvey Mudd College.  They are interested in problems in enumerative geometric combinatorics\, particularly concerning discrete volumes of polytopes.  They love thinking about math with others\, and especially enjoy learning about the interplay between polyhedral objects such as cones and polytopes and their friends’ and collaborators’ mathematical interests. \nThe talk is based on joint work with Matthias Beck\, Mitsuki Hanada\, John Lentfer\, Andrés R. Vindas-Meléndez\, and Katie Waddle. \n 
URL:https://colleges.claremont.edu/ccms/event/a-polyhedral-view-of-refined-q-t-catalan-numbers-max-hlavacek-pomona-college/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
GEO:34.0999157;-117.7142668
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