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DTSTART;TZID=America/Los_Angeles:20240917T121500
DTEND;TZID=America/Los_Angeles:20240917T131000
DTSTAMP:20260507T065722
CREATED:20240824T183435Z
LAST-MODIFIED:20240906T183313Z
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SUMMARY:Biquandle module quiver representations (Sam Nelson\, CMC)
DESCRIPTION:Biquandle module enhancements are invariants of knots and links generalizing the classical Alexander module invariant. A quiver categorification of these invariants was introduced in 2020. In this work-in-progress (joint with Yewon Joung from Hanyang University in Seoul) we take the next step by defining invariant quiver representations. As an application we obtain new polynomial knot invariants as decategorifications.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sam-nelson-cmc-4/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240917T150000
DTEND;TZID=America/Los_Angeles:20240917T160000
DTSTAMP:20260507T065722
CREATED:20240906T122404Z
LAST-MODIFIED:20240906T122541Z
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SUMMARY:Claremont Topology Seminar: Migiwa Sakurai (Shibaura Institute of Technology)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Migiwa Sakurai (Shibaura Institute of Technology) \nTitle: Clasp pass moves and arrow polynomials of virtual knots \nAbstract: For classical knots\, clasp pass moves are closely related to Vassiliev invariants of degree 3. Tsukamoto showed that the values of the Vassiliev invariant of degree 3 induced from the Jones polynomial for two knots differ by 0 or +36/-36\, if they are related by a single clasp pass move. For virtual knots\, the arrow polynomial is a generalization of the Jones polynomial and induces a Vassiliev invariant of degree 3. We show that the values of the Vassiliev invariant of degree 3 induced from the arrow polynomial of two virtual knots differ by 0 or +2304/-2304\, if they are related by a single clasp pass move. We also obtain a lower bound of the distance between virtual knots by clasp pass moves.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-migiwa-sakurai-shibaura-institute-of-technology/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240918T161500
DTEND;TZID=America/Los_Angeles:20240918T173000
DTSTAMP:20260507T065722
CREATED:20240902T155816Z
LAST-MODIFIED:20240906T130426Z
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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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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240919T163000
DTEND;TZID=America/Los_Angeles:20240919T173000
DTSTAMP:20260507T065722
CREATED:20240910T035239Z
LAST-MODIFIED:20240910T035239Z
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SUMMARY:Analysis seminar: Gerald Beer (CSULA)
DESCRIPTION:Title: A crash course in Bornologies \nAbstract: By a bornology on a nonempty set X\, we mean a family of subsets that contains the singletons\, that is stable under finite unions\, and that is stable under taking subsets. The prototype for a bornology is the so-called metric bornology: the family of metrically bounded subsets of a metric space. Bornologies help us to understand large structure. We enumerate some basic bornologies and give a few applications. We give an old result of S.-T. Hu characterizing the bornologies on a metrizable space that are metric bornologies with respect to some compatible metric\, and give a fairly recent result of J. Cabello-Sanchez characterizing those metric spaces (X\,d) for which UC(X\,R) is a ring. We introduce the notion of bornological convergence of a sequence or net of closed subsets\, of which Attouch-Wets convergence is the prototype\, and give two applications to functional analysis.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-gerald-beer-csula/
LOCATION:Estella 2393\, Pomona College\, 610 N. College Ave.\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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