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DTSTART;TZID=America/Los_Angeles:20221004T121500
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DTSTAMP:20260408T100239
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SUMMARY:Recent developments on the slice rank polynomial method with applications (Mohamed Omar\, HMC)
DESCRIPTION:The slice rank polynomial method\, motivated by groundbreaking work of Croot\, Lev and Pach and refined by Tao\, has opened the door to the resolution of many problems in extremal combinatorics. We survey these results and discuss contributions in several of the speaker’s recent papers.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-mohamed-omar-hmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20221011T121500
DTEND;TZID=America/Los_Angeles:20221011T131000
DTSTAMP:20260408T100239
CREATED:20220825T192011Z
LAST-MODIFIED:20221004T211454Z
UID:2794-1665490500-1665493800@colleges.claremont.edu
SUMMARY:On the geometry of lattice extensions (Max Forst\, CGU)
DESCRIPTION:Given a lattice L\, an extension of L is a lattice M of strictly greater rank so that L is equal to the intersection of the subspace spanned by L with M. In this talk\, we will discus constructions of such lattice extensions with particular geometric invariants of M\, such as the determinant\, covering radius and successive minima related to the analogous invariants of L. Joint work with Lenny Fukshansky.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-max-forst-cgu/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20221025T121500
DTEND;TZID=America/Los_Angeles:20221025T131000
DTSTAMP:20260408T100239
CREATED:20220906T160323Z
LAST-MODIFIED:20221012T181637Z
UID:2834-1666700100-1666703400@colleges.claremont.edu
SUMMARY:Properties of redistricting Markov chains (Sarah Cannon\, CMC)
DESCRIPTION:Markov chains have become widely-used to generate random political districting plans. These random districting plans can be used to form a baseline for comparison\, and any proposed districting plans that differ significantly from this baseline can be flagged as potentially gerrymandered. However\, very little is rigorously known about these Markov chains – Are they irreducible? What is their mixing time? For some\, even the stationary distribution remains unknown. I will present recent work that answers some of these questions\, which uses tools from probability\, computational geometry\, and more.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sarah-cannon-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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