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DTSTART;TZID=America/Los_Angeles:20240918T161500
DTEND;TZID=America/Los_Angeles:20240918T173000
DTSTAMP:20260519T030747
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SUMMARY:An Invitation to Enumerative Geometric Combinatorics (Andrés R. Vindas Meléndez\, Harvey Mudd College)
DESCRIPTION:Speaker: Andrés R. Vindas Meléndez\, Assistant Professor of Mathematics\, Harvey Mudd College\, Claremont CA \nTitle: An Invitation to Enumerative Geometric Combinatorics \nAbstract: Enumerative geometric combinatorics is an area of mathematics concerned with counting properties of geometric objects described by a finite set of building blocks. Lattice polytopes are geometric objects that can be formed by taking the convex hull of finitely many integral points. In this talk I will present background on polytopes\, lattice-point enumeration\, and share some results on special families and properties of polytopes that can be further studied. Throughout the talk I will present questions and open problems. \nBio:  Andrés R. Vindas Meléndez\,  is an Assistant Professor of Mathematics at Harvey Mudd College. His research interests are in algebraic\, enumerative\, and geometric combinatorics. His scholarly interests have also expanded to include mathematical & computational approaches and applications of data science and mathematics for social justice. He has also been a research member for the SLMath Fall 2023 program on Algorithms\, Fairness\, & Equity and a research scholar at the Institute for Computational and Experimental Research Mathematics [ICERM] for the program on Data Science & Social Justice: Networks\, Policy\, & Education during the Summers of 2022 and 2023. \nProf. Andrés strives to create community in order to build mathematics users’ confidence in spite of society’s negative messages and stigma about mathematics. He also aims to build meaningful and empowering experiences with mathematics\, while also challenging others to think about the power structures that are present in and outside mathematical spaces. \n 
URL:https://colleges.claremont.edu/ccms/event/an-invitation-to-enumerative-geometric-combinatorics/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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DTSTART;TZID=America/Los_Angeles:20240925T041500
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CREATED: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
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