BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Mathematical Sciences - ECPv6.15.18//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-ORIGINAL-URL:/math
X-WR-CALDESC:Events for Mathematical Sciences
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:America/Chicago
BEGIN:DAYLIGHT
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:20230312T080000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
DTSTART:20231105T070000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:20240310T080000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
DTSTART:20241103T070000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:20250309T080000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
DTSTART:20251102T070000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240329T140000
DTEND;TZID=America/Chicago:20240329T150000
DTSTAMP:20260421T175109
CREATED:20240319T161218Z
LAST-MODIFIED:20240319T161218Z
UID:10016149-1711720800-1711724400@uwm.edu
SUMMARY:Colloquium: Dr. Jay Pantone
DESCRIPTION:Experimental Methods in Combinatorics\nDr. Jay Pantone\nAssistant Professor of Mathematics\nMarquette University \nWhat number comes next in the sequence\n1\, 2\, 4\, 8\, 16\, 32\, … ? \nHow about\n1\, 2\, 3\, 5\, 8\, 13\, … ? \nOr maybe\n1\, 3\, 14\, 84\, 592\, 4659\, … ? \nMany questions in combinatorics have the form “How many objects are there that have size n and that satisfy certain properties?” For example\, there are n! permutations (rearrangements) of n distinct objects\, there are 2^n binary strings of length n\, and the number of sequences of n coin flips that never have two tails in a row is the nth Fibonacci number. The “counting sequence” of a set of objects is the sequence a_0\, a_1\, a_2\, …\, where a_n is the number of objects of size n. \nAs a result of theoretical advances and more powerful computers\, it is becoming common to be able to compute a large number of initial terms of the counting sequence of a set of objects that you’d like to study. From these initial terms\, can you guess future terms? Can you guess a formula for the nth term in the sequence? Can you guess the asymptotic behavior as n tends to infinity? \nRigorously\, you can prove basically nothing from just some known initial terms. But\, perhaps surprisingly\, there are several empirical techniques that can use these initial terms to shed some light on the nature of a sequence. \nAs we talk about two such techniques — automated conjecturing of generating functions\, and the method of differential approximation — we’ll exhibit their usefulness through a variety of combinatorial topics\, including chord diagrams\, permutation classes\, and inversion sequences.
URL:/math/event/colloquium-dr-jay-pantone/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
X-TRIBE-STATUS:
END:VEVENT
END:VCALENDAR