BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Claremont Center for the Mathematical Sciences - ECPv4.9.6//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Claremont Center for the Mathematical Sciences
X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
BEGIN:VTIMEZONE
TZID:"America/Los_Angeles"
BEGIN:DAYLIGHT
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
TZNAME:PDT
DTSTART:20190310T100000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
TZNAME:PST
DTSTART:20191103T090000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID="America/Los_Angeles":20191203T121500
DTEND;TZID="America/Los_Angeles":20191203T131000
DTSTAMP:20191209T114244
CREATED:20190826T173520Z
LAST-MODIFIED:20191125T232345Z
UID:1376-1575375300-1575378600@colleges.claremont.edu
SUMMARY:ANTC Seminar: Random Monomial Ideals (Lily Silverstein\, CalPoly Pomona)
DESCRIPTION:\nProbability is a now-classic tool in combinatorics\, especially graph theory. Some applications of probabilistic techniques are: (1) describing the typical/expected properties of a class of objects\, (2) uncovering phase transitions and sudden thresholds in the dependence of one property on another\, and (3) producing examples of conjectured or unusual objects. (This last technique is sometimes called “the probabilistic method.”)\n\nThis talk will apply these techniques to commutative algebra\, using monomial ideals as a bridge between combinatorics and algebra. I’ll introduce a family of random models for monomial ideals\, and describe results of each type mentioned above\, for instance: (1) typical projective dimension\, (2) thresholds in Krull dimension as a function of number of monomial generators\, and (3) how to generate unlimited examples of monomial ideals which aren’t generic (in the Bayer-Peeva-Sturmfels sense)\, but which nevertheless have minimal free resolutions that can be read from their Scarf complexes.\n\nJoint work with subsets of: Jesús A. De Loera\, Serkan Hoşten\, Robert Krone\, Sonja Petrović\, Despina Stasi\, Dane Wilburne\, and Jay Yang. \n\n
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-lily-silverstein-calpoly-pomona/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
END:VCALENDAR