BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//University of California\, Berkeley//UCB Events Calendar//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:America/Los_Angeles
BEGIN:STANDARD
TZOFFSETFROM:-0700
TZOFFSETTO:-0800
DTSTART:19701029T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:19700402T020000
TZOFFSETFROM:-0800
TZOFFSETTO:-0700
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20180122T091749Z
DTSTART;TZID=America/Los_Angeles:20180129T151000
DTEND;TZID=America/Los_Angeles:20180129T170000
TRANSP:OPAQUE
SUMMARY:Arithmetic Geometry and Number Theory RTG Seminar: Arithmetic representations of fundamental groups
UID:114781-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:748 Evans Hall
DESCRIPTION:Daniel Litt\, Columbia University\n\nLet $X$ be an algebraic variety over a field $k$. Which representations of $\\pi _1(X)$ arise from geometry\, e.g. as monodromy representations on the cohomology of a family of varieties over $X$? We study this question by analyzing the action of the Galois group of $k$ on the fundamental group of $X$\, and prove several fundamental structural results about this action.\n\nAs a sample application of our techniques\, I show that if $X$ is a normal variety over a field of characteristic zero\, and $p$ is a prime\, then there exists an integer $N=N(X\,p)$ such that any non-trivial $p$-adic representation of the fundamental group of $X$\, which arises from geometry\, is non-trivial mod $p^N$.\n\nSeminar Format: The seminar consists of two 50-minute talks\, a pre-talk (3:10-4:00) and an advanced talk (4:10-5:00)\, with a 10-minute break (4:00-4:10) between them. The advanced talk is a regular formal presentation about recent research results to general audiences in arithmetic geometry and number theory\; the pre-talk (3:10-4:00) is to introduce some prerequisites or background for the advanced talk to audiences consisting of graduate students.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=114781&view=preview
SEQUENCE:0
CLASS:PUBLIC
CREATED:20180122T091749Z
LAST-MODIFIED:20180122T091749Z
X-MICROSOFT-CDO-BUSYSTATUS:BUSY
X-MICROSOFT-CDO-INSTTYPE:0
X-MICROSOFT-CDO-IMPORTANCE:1
X-MICROSOFT-CDO-OWNERAPPTID:-1
END:VEVENT
END:VCALENDAR