BEGIN:VCALENDAR
PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
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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
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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:20150827T111500
DTEND;TZID=America/New_York:20150827T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26941
SUMMARY:Algebra and Number Theory Seminar - Organisational Meeting
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Organisation
al Meeting\nSpeaker: All\, PSU\nAbstract: Meet for lunch at 11:45
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150903T111500
DTEND;TZID=America/New_York:20150903T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26944
SUMMARY:Algebra and Number Theory Seminar - Some Open Problems Arising from
my Recent Finite Field Research
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Some Open Pr
oblems Arising from my Recent Finite Field Research\nSpeaker: Gary Mullen
\, Penn State University\nAbstract: We will discuss a number of my favorit
e open problems and \nconjectures which have arisen in my recent research
related \nto finite fields. These discussions will focus on a variety \nof
areas including some theoretical topics as well as some \ntopics from com
binatorics and coding theory.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150910T111500
DTEND;TZID=America/New_York:20150910T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26947
SUMMARY:Algebra and Number Theory Seminar - On sums of three cubes
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: On sums of t
hree cubes\nSpeaker: Robert C. Vaughan\, Penn State University\nAbstract:
Estimates for the size of the set of positive integers which are the sum o
f three non-negative cubes has s long history\, going back to Dvanport and
even Hardy and Littlewood. Advances in our knowledge have and the underl
ying questions have often stimulated fundamental advances in our knowledge
of additive number theory\, especially the theory of Waring's problem and
diagonal forms. \n\nWe will give an overview of the substantial history
of the subject and a brief description of the recent work of Trevor Wooley
.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150917T111500
DTEND;TZID=America/New_York:20150917T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26950
SUMMARY:Algebra and Number Theory Seminar - Endomorphisms rings of reductio
ns of elliptic curves
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Endomorphism
s rings of reductions of elliptic curves\nSpeaker: Yuri Zarhin\, Penn Stat
e University\nAbstract: We discuss a distribution of discriminants of the
endomorphism ring of reductions of a given elliptic curve without CM.\nTh
e subject of this talk was inspired by an exercise in Serre's ``Abelian l-
adic representations and elliptic curves" and a question\nof Mihran Papiki
an and Alina Cojocaru.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150924T111500
DTEND;TZID=America/New_York:20150924T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26953
SUMMARY:Algebra and Number Theory Seminar - Non-archimedean abelian varieti
es\, uniformization\, and faithful tropicalization
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Non-archimed
ean abelian varieties\, uniformization\, and faithful tropicalization\nSpe
aker: Farbod Shokrieh\, Cornell University\nAbstract: The skeleton of a Be
rkovich analytic space is a subspace onto which the whole space deformatio
n retracts. For an abelian variety\, the skeleton is a real torus with an
“integral structure”. I will discuss “faithful tropicalization” of
abelian varieties in terms of non-archimedean and tropical theta function
s. The solution relies on interesting combinatorial facts about lattices\,
matroids\, and Voronoi decompositions. This talk is based on joint projec
ts with Tyler Foster\, Joe Rabinoff\, and Alejandro Soto.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151001T111500
DTEND;TZID=America/New_York:20151001T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26956
SUMMARY:Algebra and Number Theory Seminar - Infinitely Many Congruences Mod
ulo 5 for 4-Colored Frobenius Partitions
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Infinitely M
any Congruences Modulo 5 for 4-Colored Frobenius Partitions\nSpeaker: Jame
s Sellers\nAbstract: In his 1984 AMS Memoir\, Andrews introduced the famil
y of functions c\\phi_k(n)\, which denotes the number of generalized Frobe
nius partitions of n into k colors. Recently\, Baruah and Sarmah\, Lin\, S
ellers\, and Xia established several Ramanujan-like congruences for c\\phi
_4(n) relative to different moduli. In this paper\, which is joint work wi
th Michael D. Hirschhorn of UNSW\, we employ classical results in q-series
\, the well-known theta functions of Ramanujan\, and elementary generating
function manipulations to prove a characterization of c\\phi_4(10n+1) mod
ulo 5 which leads to an infinite set of Ramanujan-like congruences modulo
5 satisfied by c\\phi_4. This work greatly extends the recent work of Xia
on c\\phi_4 modulo 5.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151008T111500
DTEND;TZID=America/New_York:20151008T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26959
SUMMARY:Algebra and Number Theory Seminar - Construction and analysis of mu
ltidimensional periodic arrays
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Construction
and analysis of multidimensional periodic arrays\nSpeaker: Ive Rubio\, Un
iversity of Puerto Rico\nAbstract: In order to use arrays in digital water
marking and cryptography\, the arrays need to be robust to attacks and the
re is a need to measure the complexity of the arrays. For sequences (one-d
imensional arrays)\, the linear complexity is defined as the degree of the
minimal polynomial that generates the sequence\, if there is any. If no p
olynomial generates the sequence\, the complexity is defined to be infinit
y. If the sequence is periodic\, the minimal polynomial always exist. We
present a definition of multidimensional linear complexity and use the the
ory of Groebner basis for the analysis of multidimensional periodic arrays
.\n\nWe also present generalizations of constructions of multidimensional
periodic arrays introduced by Moreno and Tirkel and study some results and
conjectures on the complexity of the constructions.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151015T111500
DTEND;TZID=America/New_York:20151015T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26962
SUMMARY:Algebra and Number Theory Seminar - Ample divisors on Hilbert schem
es of points
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Ample diviso
rs on Hilbert schemes of points\nSpeaker: Jack Huizenga\, Penn State Unive
rsity\nAbstract: I will give a gentle introduction to the minimal model pr
ogram for Hilbert schemes of points\, Bridgeland stability conditions\, an
d the positivity lemma of Bayer and Macri. I will then explain how this t
heory leads to a computation of the cone of ample divisors on the Hilbert
scheme of points of a surface.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151022T111500
DTEND;TZID=America/New_York:20151022T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26965
SUMMARY:Algebra and Number Theory Seminar - Indefinite theta functions\, hi
gher depth mock modular forms\, and quantum modular forms
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Indefinite t
heta functions\, higher depth mock modular forms\, and quantum modular for
ms\nSpeaker: Larry G. Rolen III\, Penn State University\nAbstract: In this
talk\, I will describe several new results concerning the modularity of i
ndefinite theta functions. From Zwegers' thesis\, we know that special typ
es of indefinite theta functions with prescribed signatures give rise to m
ock modular forms\, which combined with important work of Andrews and othe
rs gives one road to understanding the mock theta functions of Ramanujan.
Here\, we will study several important examples of more general indefinite
theta series inspired by physics and geometry and describe how to study t
he modularity properties of more complicated objects such as these\, givin
g a glimpse into the general structure of indefinite theta functions. We w
ill also study another class of indefinite theta functions\, and we will d
iscuss a new family of examples which give rise to quantum modular forms\,
and provide a family of canonical Maass waveforms whose Fourier coefficie
nts are described by combinatorial functions with integer coefficients\, p
lacing the famous functions $\\sigma$ and $\\sigma^*$ of Andrews\, Dyson\,
and Hickerson in a natural framework.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151029T111500
DTEND;TZID=America/New_York:20151029T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26968
SUMMARY:Algebra and Number Theory Seminar - A quantum algorithm for computi
ng the unit group of a number field of arbitrary degree
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: A quantum al
gorithm for computing the unit group of a number field of arbitrary degree
\nSpeaker: Kirsten Eisentraeger\, Penn State University\nAbstract: Computi
ng the group of units in a number field is one of the central tasks of com
putational algebraic number theory. It is believed to be hard classically
\, which is of interest for cryptography. In the quantum setting\, efficie
nt algorithms were previously only known for number fields of constant deg
ree. We will give a quantum algorithm that is polynomial in the degree of
the field and the logarithm of its discriminant. Joint work with Sean Hal
lgren\, Alexei Kitaev\, and Fang Song.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151105T111500
DTEND;TZID=America/New_York:20151105T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26971
SUMMARY:Algebra and Number Theory Seminar - This week's seminar will be on
Friday\, 11:15 in Room 114.
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: This week's
seminar will be on Friday\, 11:15 in Room 114.\nSpeaker: Damaris Schindler
\, Insititute for Advanced Study
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151106T111500
DTEND;TZID=America/New_York:20151106T124500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30310
SUMMARY:Algebra and Number Theory Seminar - Strong approximation and a conj
ecture of Harpaz and Wittenberg
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Strong appro
ximation and a conjecture of Harpaz and Wittenberg\nSpeaker: Damaris Schin
dler\, Institute for Advanced Study\nAbstract: In recent work Harpaz and W
ittenberg established a general fibration theorem for the existence of rat
ional points\, conditional on a conjecture on locally split values of poly
nomials. In this talk we report on joint work with Tim Browning\, which es
tablishes a special case of their conjecture. We achieve this in proving s
trong approximation off a non-empty finite set of places for some varietie
s which are defined using norm forms.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151112T111500
DTEND;TZID=America/New_York:20151112T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26974
SUMMARY:Algebra and Number Theory Seminar - Radial Limits of Partial Theta
and Similar Series
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Radial Limit
s of Partial Theta and Similar Series\nSpeaker: Kağan Kurşungöz\, Saban
ci University\, Istanbul\nAbstract: We study unilateral series in a single
variable q where its exponent is an unbounded increasing function\, and t
he coefficients are periodic. Such series converge inside the unit disk. Q
uadratic polynomials in the exponent correspond to partial theta series. W
e compute limits of those series as the variable tends radially to a root
of unity. The proofs use ideas from the q-integral and are elementary.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151119T111500
DTEND;TZID=America/New_York:20151119T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26977
SUMMARY:Algebra and Number Theory Seminar - Klaus Friedrich Roth
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Klaus Friedr
ich Roth\nSpeaker: Robert Vaughan & Dale Brownawll\, Penn State University
\nAbstract: We give an overview of the work of Klaus Roth who passed away
on 10th November.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151119T111500
DTEND;TZID=America/New_York:20151119T120500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30417
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:20151126T111500
DTEND;TZID=America/New_York:20151126T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26980
SUMMARY:Algebra and Number Theory Seminar - Thanksgiving
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Thanksgiving
\nSpeaker: Mr Turkey\, Dining table
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151203T111500
DTEND;TZID=America/New_York:20151203T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26983
SUMMARY:Algebra and Number Theory Seminar - TBA
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: TBA
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151210T111500
DTEND;TZID=America/New_York:20151210T120500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=26986
SUMMARY:Algebra and Number Theory Seminar - Algebra and Number Theory Semi
nar
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: Algebra and
Number Theory Seminar\nSpeaker: Will be on Friday\, 11:15\, room MB114\,
None\nAbstract: Valentin Blomer will speak on Friday
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151211T111500
DTEND;TZID=America/New_York:20151211T120500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30030
SUMMARY:Algebra and Number Theory Seminar - On a certain senary cubic form
DESCRIPTION:Seminar: Algebra and Number Theory Seminar\nTitle: On a certain
senary cubic form\nSpeaker: Valentin Blomer\, Institute for Advanced Stud
y and University of Goettingen\nAbstract: We establish an asymptotic formu
la (with power saving error term) for the number of rational points of bou
nded height for a certain cubic fourfold\, thereby proving a strong form o
f Manin's conjecture for this case by a variety techniques from analytic n
umber theory\, combinatorics and arithmetic geometry.
END:VEVENT
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