BEGIN:VCALENDAR
PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Algebra and Number Theory Seminar
X-WR-TIMEZONE:America/New_York
BEGIN:VTIMEZONE
TZID:America/New_York
X-LIC-LOCATION:America/New_York
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:19700308T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:19701101T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
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END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140102T111500
DTEND;TZID=America/New_York:20140102T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=19909
SUMMARY:Algebra and Number Theory Seminar - TBA
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: TBA\nAbstrac
t Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140109T111500
DTEND;TZID=America/New_York:20140109T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=19957
SUMMARY:Algebra and Number Theory Seminar - TBA
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: TBA\nAbstrac
t Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140116T111500
DTEND;TZID=America/New_York:20140116T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20121
SUMMARY:Algebra and Number Theory Seminar - Palindromic properties of curve
s and explicit descent obstructions
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Palindromic
properties of curves and explicit descent obstructions\nSpeaker: James Sta
nkewicz\, University of Copenhagen\nAbstract: For most curves that you mig
ht think of\, it is possible to find\na twist which has a rational point.
For the first time we exhibit an\ninfinite family of curves over the ratio
nal numbers for which this\nexplicitly does not apply. That is to say that
we find Shimura curves C\nwhose lack of rational points is palindromic or
preserved by twists.\n\nUsing this family of curves\, we find a related s
et of twists of Shimura\ncurves which all violate the Hasse Principle. Mor
eover\, rather than using\nFaltings theorem or a density result to say tha
t some infinite subcollection\nviolates the Hasse Principle\, we explicitl
y identify violations using the\ndescent obstruction.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140123T111500
DTEND;TZID=America/New_York:20140123T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20122
SUMMARY:Algebra and Number Theory Seminar - No seminar this week
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: No seminar t
his week
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140130T111500
DTEND;TZID=America/New_York:20140130T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20123
SUMMARY:Algebra and Number Theory Seminar - The Strong CM Lifting Problem
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: The Strong C
M Lifting Problem\nSpeaker: Taisong Jing\, University of Pennsylvania\nAbs
tract: It is known that an abelian variety over a finite field may not adm
it a\nlifting to an abelian variety with complex multiplication in charact
eristic 0. The question of strong CM lifting (sCML) asks whether we can ki
ll the obstructions to a CM lifting by requiring the whole ring of integer
s in the CM field act on the abelian variety. I will give counterexamples
to question (sCML)\, and prove the answer to question (sCML) is affirmativ
e under the following assumptions on the CM field L: for every place v abo
ve p in the maximal totally real subfield L_0 \, either v is inert in L\,
or v is split in L with absolute ramification index e(v) < p − 1
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140206T111500
DTEND;TZID=America/New_York:20140206T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20124
SUMMARY:Algebra and Number Theory Seminar - Small gaps between primes
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Small gaps b
etween primes\nSpeaker: James Maynard\, Centre de recherches mathématique
s\nAbstract: It is believed that there should be infinitely many pairs of
primes which differ by 2\; this is the famous twin prime conjecture. More
generally\, it is believed that for every positive integer $m$ there shoul
d be infinitely many sets of $m$ primes\, with each set contained in an in
terval of size roughly $m\\log{m}$. Although proving these conjectures see
ms to be beyond our current techniques\, recent progress has enabled us to
obtain some partial results. We will introduce a refinement of the `GPY s
ieve method' for studying these problems. This refinement will allow us to
show (amongst other things) that $\\liminf_n(p_{n+m}-p_n)<\\infty$ for an
y integer $m$\, and so there are infinitely many bounded length intervals
containing $m$ primes.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140213T111500
DTEND;TZID=America/New_York:20140213T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20125
SUMMARY:Algebra and Number Theory Seminar - Period functions for quantum mo
dular forms
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Period funct
ions for quantum modular forms\nSpeaker: Trung Hieu Ngo\, University of Mi
chigan\nAbstract: A quantum modular form is a function on the rational num
bers which is not necessarily modular but whose failure to be modular give
s rise to an interesting analytic function. There are two important places
where one finds a quantum modular form. First\, it arises from a certain
transform of the period function of a Maass form (thanks to Ramanujan\, An
drews\, Dyson\, Hickerson\, Cohen\, Bruggeman\, Lewis\, Zagier\,...). Seco
nd\, it arises from the radial limit of both a mock theta function and a p
artial theta function (thanks to Rademacher\, Ramanujan\, Rhoades\, Zagier
\, Zwegers\,...). It is a conjecture of Dyson that the two instances belon
g to a unified framework.\nWith Yingkun Li and Robert C. Rhoades\, we disc
over and study a q-hypergeometric series construction\, called renormaliza
tion\, which tie together a duality in each of the two instances. We will
describe a new application of renormalization results and quantum modular
forms to counting integer partitions with prescribed properties. This is a
chieved via certain circle method technique\, executed by Hardy-Ramanujan
and Wright amongst others.\nThe talk includes a motivated introduction to
quantum modular form (with more emphasis on the perspective of Bruggeman-L
ewis-Zagier). No background knowledge is assumed and graduate students are
welcome.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140220T111500
DTEND;TZID=America/New_York:20140220T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20126
SUMMARY:Algebra and Number Theory Seminar - Expanders and Ramanujan comple
xes
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Expanders an
d Ramanujan complexes\nSpeaker: Ori Parzanchevski\, IAS\nAbstract: The "R
amanujan graphs" constructed by Lubotzky-Phillips-Sarnak and Margulis are
sparse graphs with excellent expansion properties. Their higher dimension
al analogues are "Ramanujan complexes"\, which are at the focus of several
recent studies. In joint work with Konstantin Golubev we study the simpli
cial Hodge spectrum of these complexes\, and derive some combinatorial exp
ansion properties.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140227T111500
DTEND;TZID=America/New_York:20140227T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20127
SUMMARY:Algebra and Number Theory Seminar - Invariants of Local Conjugation
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Invariants o
f Local Conjugation\nSpeaker: Jacob Turner\, PSU\nAbstract: We consider th
e action of a product of groups acting on tuples of matrices\nby simultane
ous conjugation. We focus on the case where the groups are products of (s
pecial) unitary or (special) linear groups. We classify the invariant ring
s and for a special case\, we give an upper bound on the degree of the gen
erators.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140306T111500
DTEND;TZID=America/New_York:20140306T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20128
SUMMARY:Algebra and Number Theory Seminar - Congruences and R=T theorems
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Congruences
and R=T theorems\nSpeaker: Krzysztof Klosin\, CUNY\nAbstract: We will repo
rt on a recent result (joint with T. Berger and K. Kramer) on measuring hi
gher congruences among modular forms. We will discuss how to apply this re
sult to the study of modularity of reducible residual Galois representatio
ns and their lifts to characteristic zero. As a consequence we will obtain
a new modularity theorem for Galois representations over imaginary quadra
tic fields.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140320T111500
DTEND;TZID=America/New_York:20140320T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20130
SUMMARY:Algebra and Number Theory Seminar - The truncated Jacobi triple pro
duct theorem
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: The truncate
d Jacobi triple product theorem\nSpeaker: Ae Ja Yee\, Penn State\nAbstract
: Recently\, G. E. Andrews and M. Merca considered the truncated version\n
of Euler's pentagonal number theorem and obtained a non-negativity result.
They\nasked the same question on the truncated Jacobi triple product iden
tity. In this\ntalk\, we will discuss the question.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140327T111500
DTEND;TZID=America/New_York:20140327T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20131
SUMMARY:Algebra and Number Theory Seminar - Pieri maps and their relations
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Pieri maps a
nd their relations\nSpeaker: Graham Leuschke\, Syracuse University\nAbstra
ct: The irreducible polynomial representations L^\\alpha V of GL(V)\nare w
ell-known to be indexed by partitions \\alpha. The Pieri rule for\ndecom
posing tensor products of V with L^\\alpha V into irreducibles defines\,\n
up to some choices of scalars\, a system of split surjections onto those\n
representations related by adding a single box to the partition. The\nsc
alars cannot be chosen with complete freedom\; in particular there are\nso
me unavoidable non-commutativity relations among the Pieri maps. We\nbui
ld a quiver out of the data of partitions\, maps\, and relations\, and sho
w\nthat the path algebra of this bound quiver is derived equivalent to a\n
certain Grassmannian. This is joint work with Ragnar-Olaf Buchweitz and M
ichel Van den Bergh.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140403T111500
DTEND;TZID=America/New_York:20140403T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20132
SUMMARY:Algebra and Number Theory Seminar - The relative Langlands program
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: The relative
Langlands program\nSpeaker: Yiannis Sakellaridis\, Rutgers (Newark)\nAbst
ract: I will give an overview of what could now be termed the "relative La
nglands\nprogram". This program\, which is still under development\, build
s on the\nwork of many experts in order to provide a conjectural descripti
on of the\n"local" and the "automorphic" spectra of spherical (e.g. symmet
ric)\nvarieties in terms of a Langlands dual group attached to them. This
has\napplications to functoriality\, and to relations between periods and
\nL-functions such as the ones suggested by the Gan-Gross-Prasad conjectur
es.\nThe special case where a reductive group is considered as a symmetric
\nvariety should recover the usual Langlands conjectures.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140410T111500
DTEND;TZID=America/New_York:20140410T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20133
SUMMARY:Algebra and Number Theory Seminar - No seminar this week
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: No seminar t
his week\nSpeaker: No seminar this week
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140417T111500
DTEND;TZID=America/New_York:20140417T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20134
SUMMARY:Algebra and Number Theory Seminar - Derived equivalent rational thr
eefolds
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Derived equi
valent rational threefolds\nSpeaker: John Lesieutre\, MIT\nAbstract: I wil
l describe the construction of an infinite set of\nsmooth projective three
folds that have equivalent derived categories\nbut are not isomorphic\, co
ntrary to a conjecture of Kawamata. The\nexample is quite elementary: the
varieties arise as blow-ups of CP^3\nat various configurations of 8 points
\, related by sequences of Cremona\ntransformations. As time permits\, I
will discuss how related\nconstructions give rise to some other counterexa
mples in birational\ngeometry.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140424T111500
DTEND;TZID=America/New_York:20140424T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20135
SUMMARY:Algebra and Number Theory Seminar - TBA
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: TBA\nAbstrac
t Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140501T111500
DTEND;TZID=America/New_York:20140501T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20136
SUMMARY:Algebra and Number Theory Seminar - TBA
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: TBA\nSpeaker
: Lance Edward Miller\, University of Arkansas
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140508T111500
DTEND;TZID=America/New_York:20140508T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=20137
SUMMARY:Algebra and Number Theory Seminar - TBA
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: TBA\nSpeaker
: Will Chen\, PSU
END:VEVENT
END:VCALENDAR