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
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150115T111500
DTEND;TZID=America/New_York:20150115T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24840
SUMMARY:Algebra and Number Theory Seminar - The Erdos-Heilbronn Problem for
Finite Groups
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: The Erdos-He
ilbronn Problem for Finite Groups\nSpeaker: Jeffrey Paul Wheeler\, Univers
ity of Pittsburgh\nAbstract: Additive Number Theory can be best described
as the study of sums of sets of integers. A simple example is given two su
bsets A and B of a set of integers\, what facts can we determine about A+B
where A+B := { a+b | a \\in A andb \\in B }? Note that Lagrange's Four S
quare Theorem can be expressed as N_0 = S + S +\nS + S where N_0 is the se
t of nonnegative integers and S the set of all perfect squares. As well t
he binary version of Goldbach's Conjecture can stated E \\subseteq P + P w
here E be the set of even integers greater than 2 and P the primes\,\n\nA
classic problem in Additive Number Theory was a conjecture of Paul Erdos a
nd Hans Heilbronn which stood as an open problem for over 30 years until p
roved in 1994 by Dias da Silva and Hamidounne. The conjecture had its roo
ts in the Cauchy-Davenport Theorem\, namely if A and B are nonempty subset
s of Z/pZ with p prime\, then |A+B| >= min{p\,|A|+|B|-1\\}\, where A+B :=
{a+b | a \\in A and b \\in B}. Erdos and Heilbronn conjecture in the ear
ly 1960s that if the operation is changed to a restricted sum A \\dot{+} B
:= {a+b | a \\in A and b \\in B\, a \\ne b}\, then |A \\dot{+} B| >=\nmi
n{p\,|A|+|B|-3\\}. We extend these results from Z/pZ to finite groups.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150122T111500
DTEND;TZID=America/New_York:20150122T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24841
SUMMARY:Algebra and Number Theory Seminar - No seminar today
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: No seminar t
oday\nSpeaker: See Colloquium\, Job Candidate
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150129T111500
DTEND;TZID=America/New_York:20150129T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24842
SUMMARY:Algebra and Number Theory Seminar - Descent for specializations of
Galois branched covers
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Descent for
specializations of Galois branched covers\nSpeaker: Ryan Eberhart\, Penn S
tate University\nAbstract: Let G be a finite group and K a number field. H
ilbert's irreducibility theorem states that a regular G-Galois branched co
ver of P^1_K\, the projective line over K\, gives rise to G-Galois field e
xtensions of K by specializing the cover (i.e. plugging in specific coordi
nates into the equations for the cover). A common tactic for progress on t
he Inverse Galois Problem over Q is to construct a G-Galois branched cover
of P^1_Q. We investigate a related line of inquiry: given a G-Galois bran
ched of P^1_K\, do any of the specializations descend to a G-Galois field
extension of Q\, even though the cover itself may not? We prove that the a
nswer is yes when G is cyclic if one allows specializations at closed poin
ts. However\, we show that the answer is in general no if we restrict to s
pecializations at K-rational points. This is joint work with Hilaf Hasson.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150202T111500
DTEND;TZID=America/New_York:20150202T120500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=27339
SUMMARY:Algebra and Number Theory Seminar - Products of Farey fractions
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Products of
Farey fractions\nSpeaker: Jeffery Lagarias\, University of Michigan\nAbstr
act: Let F_n denote the product of all nonzero\nFarey fractions of order n
and let G_n denote the product\nof all reduced and unreduced Farey fracti
ons\nof order n. It is known that the reciprocal of G_n is the product of
binomial coefficients on the n-th row of Pascal's triangle. We present res
ults on the growth rate of log F_n and of log G_n\, and on the behavior o
f the p-adic norms of F_n and G_n.\n The p-adic behavior of G_n is rela
ted to the Riemann zeta function on the line Re(s)=0. We present experimen
tal results suggesting that F_n is related to behavior of the Riemann zet
a function on another line. (This is joint work with Harsh Mehta (U. Sout
h Carolina).)
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150205T111500
DTEND;TZID=America/New_York:20150205T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24843
SUMMARY:Algebra and Number Theory Seminar - No seminar today
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: No seminar t
oday\nSpeaker: See Colloquium\, Job Candidate
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150212T111500
DTEND;TZID=America/New_York:20150212T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24844
SUMMARY:Algebra and Number Theory Seminar - To be announced
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: To be announ
ced\nSpeaker: Will Chen\, Penn State University
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150219T111500
DTEND;TZID=America/New_York:20150219T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24845
SUMMARY:Algebra and Number Theory Seminar - Congruences for Fishburn Number
s
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Congruences
for Fishburn Numbers\nSpeaker: James Sellers\, Penn State University\nAbst
ract: The Fishburn numbers\, originally considered by Peter C. Fishburn\,
have been shown to enumerate a variety of combinatorial objects. These inc
lude unlabelled interval orders on n elements\, (2+2)--avoiding posets wit
h n elements\, upper triangular matrices with nonnegative integer entries
and without zero rows or columns such that the sum of all entries equals n
\, non--neighbor--nesting matches on [2n]\, a certain set of permutations
of [n] which serves as a natural superset of the set of 231--avoiding perm
utations of [n]\, and ascent sequences of length n. \n\nIn December 2013\,
Rob Rhoades (Stanford) gave a talk in the Penn State Algebra and Number T
heory Seminar in which he described\, among other things\, the relationshi
p between Fishburn numbers\, quantum modular forms\, and Ramanujan's mock
theta functions. Motivated by Rhoades' talk\, George Andrews and I were l
ed to study the Fishburn numbers from an arithmetic point of view - someth
ing which had not been done prior. In the process\, we proved that the Fi
shburn numbers satisfy infinitely many Ramanujan--like congruences modulo
certain primes p (the set of which we will easily describe in the talk). I
n this talk\, we will describe this result in more detail as well as discu
ss how our work has served as the motivation for a great deal of related w
ork in the last year by Garvan\, Straub\, and many others.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150226T111500
DTEND;TZID=America/New_York:20150226T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24846
SUMMARY:Algebra and Number Theory Seminar - Jordan Groups and Automorphism
Groups of Algebraic Surfaces
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Jordan Group
s and Automorphism Groups of Algebraic Surfaces\nSpeaker: Tatiana Bandman
\, Bar-Ilan University
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150305T111500
DTEND;TZID=America/New_York:20150305T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24847
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:20150312T111500
DTEND;TZID=America/New_York:20150312T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24848
SUMMARY:Algebra and Number Theory Seminar - No seminar today
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: No seminar t
oday\nSpeaker: Spring Break\, Somewhere sunny
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150319T111500
DTEND;TZID=America/New_York:20150319T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24849
SUMMARY:Algebra and Number Theory Seminar - To be announced
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: To be announ
ced\nSpeaker: Ayla Gafni\, Penn State University
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150326T111500
DTEND;TZID=America/New_York:20150326T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24850
SUMMARY:Algebra and Number Theory Seminar - To be announced
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: To be announ
ced\nSpeaker: Brandon Hanson\, University of Toronto
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150402T111500
DTEND;TZID=America/New_York:20150402T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24851
SUMMARY:Algebra and Number Theory Seminar - To be announced
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: To be announ
ced\nSpeaker: Mike Knapp\, Loyola University
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150409T111500
DTEND;TZID=America/New_York:20150409T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24852
SUMMARY:Algebra and Number Theory Seminar - To be announced
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: To be announ
ced\nSpeaker: Jing-Jing Huang\, University of Toronto
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150416T111500
DTEND;TZID=America/New_York:20150416T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24853
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:20150423T111500
DTEND;TZID=America/New_York:20150423T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24854
SUMMARY:Algebra and Number Theory Seminar - This week's talk will be on 24t
h
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: This week's
talk will be on 24th\nSpeaker: Shouwu Zhang\, Princeton University
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150430T111500
DTEND;TZID=America/New_York:20150430T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24855
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:20150507T111500
DTEND;TZID=America/New_York:20150507T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24856
SUMMARY:Algebra and Number Theory Seminar - TBA
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: TBA\nAbstrac
t Link: http://
END:VEVENT
END:VCALENDAR