BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Mathematics - ECPv5.0.2.1//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Mathematics
X-ORIGINAL-URL:https://math.ua.edu
X-WR-CALDESC:Events for Mathematics
BEGIN:VTIMEZONE
TZID:America/Chicago
BEGIN:DAYLIGHT
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:20200308T080000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
DTSTART:20201101T070000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20200207T150000
DTEND;TZID=America/Chicago:20200207T160000
DTSTAMP:20200408T153115
CREATED:20200217T185835Z
LAST-MODIFIED:20200217T185835Z
UID:5153-1581087600-1581091200@math.ua.edu
SUMMARY:Analysis Seminar – Vjekoslav Kovac (University of Zagreb\, Croatia and Georgia Tech)
DESCRIPTION:Title: A Szemeredi-type theorem for subsets of the unit cube. \nAbstract: We are interested in arithmetic progressions in positive measure subsets of [0\,1]^d. After a counterexample by Bourgain\, it seemed as if nothing could be said about the longest interval formed by sizes of their gaps. However\, Cook\, Magyar\, and Pramanik gave a positive result for 3-term progressions if their gaps are measured in the l^p-norm for p other than 1\, 2\, and infinity\, and the dimension d is large enough. We establish an appropriate generalization of their result to longer progressions. The main difficulty lies in handling a class of multilinear singular integrals associated with arithmetic progressions that includes the well-known multilinear Hilbert transforms\, bounds for which still constitute an open problem. As a substitute\, we use the previous work with Durcik and Thiele on power-type cancellation of those transforms\, which was\, in turn\, motivated by a desire to quantify the results of Tao and Zorin-Kranich. This is joint work with Polona Durcik (Caltech). \n
URL:https://math.ua.edu/event/analysis-seminar-vjekoslav-kovac-university-of-zagreb-croatia-and-georgia-tech/
LOCATION:346 Gordon Palmer Hall\, 505 Hackberry Lane\, Tuscaloosa\, AL\, 35487\, United States
CATEGORIES:Analysis Seminar,Math Department
ORGANIZER;CN="Kabe%20Moen":MAILTO:kabe.moen at ua.edu
END:VEVENT
END:VCALENDAR