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X-WR-CALNAME:GAP Seminar
X-WR-TIMEZONE:America/New_York
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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:20140826T143000
DTEND;TZID=America/New_York:20140826T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21896
SUMMARY:GAP Seminar - Rozansky--Witten-type invariants from symplectic Lie
pairs
DESCRIPTION:Seminar: GAP Seminar\nTitle: Rozansky--Witten-type invariants f
rom symplectic Lie pairs\nSpeaker: Yannick Voglaire\, University of Luxemb
ourg\nAbstract: In 1997\, Rozansky and Witten built new finite-type invari
ants of 3-manifolds from hyperkahler manifolds. It was later shown by Kont
sevich and \n Kapranov that those invariants only depend on the holomorphi
c symplectic structure of the hyperkahler manifolds.\nIndeed Kapranov prov
ed that\nthese invariants may be built from only two objects: the Atiyah c
lass of the underlying complex manifold\, and the holomorphic symplectic f
orm.\n\nIn this talk\, we introduce symplectic structures on "Lie pairs"
of (real or complex) algebroids\, encompassing homogeneous symplectic spac
es\, symplectic manifolds with a $\\mathfrak g$-action and holomorphic sym
plectic manifolds.\nWe show that to each such symplectic Lie pair are asso
ciated Rozansky-Witten-type invariants of three-manifolds and knots\, give
n respectively by weight systems on trivalent and chord diagrams.\nIn this
talk\, I will review the necessary notions to state the result and explai
n the construction of the weight systems.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140902T143000
DTEND;TZID=America/New_York:20140902T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21897
SUMMARY:GAP Seminar - Spectral coincidence of transition operators\, automa
ta groups and BBS in tropical geometry
DESCRIPTION:Seminar: GAP Seminar\nTitle: Spectral coincidence of transition
operators\, automata groups and BBS in tropical geometry\nSpeaker: Tsuyos
hi Kato\, Kyoto University\nAbstract: I will speak on our discovery of a s
pectral coincidence of Markov operators between the lamplighter group and
the box-ball system. The former appears in group theory and the latter is
the automaton of the KdV equation in infinite integrable systems\, passin
g through tropical geometry. This is joint work with S. Tsujimoto and A.
Zuk.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140909T143000
DTEND;TZID=America/New_York:20140909T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21898
SUMMARY:GAP Seminar - A general approach to the problem of action-angle var
iables
DESCRIPTION:Seminar: GAP Seminar\nTitle: A general approach to the problem
of action-angle variables\nSpeaker: Nguyen Tien Zung\, Université de Toul
ouse\nAbstract: The existence of action-angle variables is a fundamental r
esult\nin dynamical systems\, whose proofs in the literature are however r
ather\ntricky. In this talk\, I want to show a conceptual geometric approa
ch\nto this problem\, which gives a simple easy-to-remember proof for the
\nclassical action-angle variables theorem (for integrable Hamiltonians\no
n symplectic manifolds)\, and which also leads to many generalizations\n(i
ntegrable systems in generalized senses\, systems on Dirac manifolds\,\nac
tion-angle variables near singularities\, infinite-dimensional systems\, e
tc.)
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140916T143000
DTEND;TZID=America/New_York:20140916T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21899
SUMMARY:GAP Seminar - Higher symmetries of Laplacian via quantization
DESCRIPTION:Seminar: GAP Seminar\nTitle: Higher symmetries of Laplacian via
quantization\nSpeaker: Jean-Philippe Michel\, Université catholique de L
ouvain\nAbstract: We first review the seminal results of M. Eastwood\non t
he so-called higher symmetries of Laplacian.\nIn particular\, in dimension
n\, they form an algebra\nisomorphic to the quotient of the universal env
elopping\nalgebra of o(n+ 2\;C) by the Joseph ideal.\nWe propose a new met
hod to classify those symmetries\,\nrelying on the conformally equivariant
quantization.\nIn signature (p\;q)\, this provides links between:\n- high
er symmetries of laplacian\,\n- the minimal representation of O(p+ 1\;q+ 1
) on the kernel of the Laplacian\n- the invariant star-product on the mini
mal coadjoint orbit\nof O(p+1\;q+1).
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140923T143000
DTEND;TZID=America/New_York:20140923T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21900
SUMMARY:GAP Seminar - Residue of meromorphic functions with linear poles
DESCRIPTION:Seminar: GAP Seminar\nTitle: Residue of meromorphic functions w
ith linear poles\nSpeaker: Bin Zhang\, Sichuan University\nAbstract: Germs
of meromorphic fractions with linear poles at zero arise naturally in var
ious contexts. We provide a decomposition of the algebra of such germs int
o the holomorphic part and its linear complement by means of an inner pr
oduct using our results on cones and pure fractions in an essential way. U
sing this decomposition we define a residue on germs of meromorphic fracti
ons with linear poles at zero and prove that it is independent of the chos
en inner product. Furthermore\, if restricted to cones\, this residue give
s a valuation.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141004T080000
DTEND;TZID=America/New_York:20141004T180000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=23646
SUMMARY:GAP Seminar - Joint Cornell-Penn State Symplectic Geometry Seminar
DESCRIPTION:Seminar: GAP Seminar\nTitle: Joint Cornell-Penn State Symplecti
c Geometry Seminar\nSpeaker: Various Speakers\, Various Affiliations\nAbst
ract Link: http://www.math.psu.edu/stienon/cornellpennstate/schedule_FA14.
pdf\nAbstract: Yuri Berest (Cornell University)\, David Li-Bland (Universi
ty of California\, Berkeley)\, Sasha Patotski (Cornell University)\, Nick
Early (Penn State University)\, and Jae-Suk Park (Center for Geometry and
Physics\, IBS & POSTECH)\n\nSee link for schedule.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141007T143000
DTEND;TZID=America/New_York:20141007T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21902
SUMMARY:GAP Seminar - Fermions as functors
DESCRIPTION:Seminar: GAP Seminar\nTitle: Fermions as functors\nSpeaker: Zif
eng Yang\, Penn State and Capital Normal University\, China\nAbstract: Bos
ons and Fermions are fundamental concepts in many constructions related to
the representations\nof quantum (affine) algebras in theoretical physics
and mathematical physics. Recently\, we need to lift\nthese concepts to f
unctors of some categories\, which might reflect some geometric constructi
ons. In\nthis talk\, I will explain how to construct the categorical Fermi
ons based on Khovanov's categorication\nof Heisenberg algebra\, and how t
hese categoried Fermions are related to the classical Boson-Fermions\ncor
respondence.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141014T143000
DTEND;TZID=America/New_York:20141014T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21903
SUMMARY:GAP Seminar - Families of Harish Chandra modules connecting compact
and noncompact Lie groups
DESCRIPTION:Seminar: GAP Seminar\nTitle: Families of Harish Chandra modules
connecting compact and noncompact Lie groups\nSpeaker: Eyal Subag\, Tel A
viv University\nAbstract: Families of representations naturally appear in
the representation theory of real reductive Lie groups. In my talk I will
demonstrate how the Lie groups themselves come in families and how familie
s of representations (of non-isomorphic groups) play a significant role in
representation theory. I’ll be focusing on the groups SU(1\,1)\, SU(2)
and their Cartan motion group. Furthermore\, I will show that there exists
an algebraic family of Harish Chandra pairs that is associated with these
groups. We shall see how families of Harish Chandra modules relate repre
sentations of SU(1\,1)\, SU(2) and their Cartan motion group. These famili
es of HC modules will finally be used to provide some insights into the th
eory of contraction of representations and the Mackey bijection.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141021T143000
DTEND;TZID=America/New_York:20141021T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21904
SUMMARY:GAP Seminar - An odd-dimensional counterpart of generalized complex
geometry
DESCRIPTION:Seminar: GAP Seminar\nTitle: An odd-dimensional counterpart of
generalized complex geometry\nSpeaker: Aissa Wade\, Penn State University
\nAbstract: In 2002\, Hitchin introduced the theory of generalized comple
x structures which\, has been developed since then. Generalized complex st
ructures on an even-dimensional manifold M are generalizations of symplect
ic and complex structures on M. More precisely\, any generalized complex s
tructure on M can be viewed as a complex structure on the vector bundle $T
M \\oplus T^*M$. After a brief review of generalized complex geometry\, we
will discuss its odd-dimensional counterpart. The odd-dimensional analogu
es of generalized complex structures are called generalized contact struct
ures. They include contact\, cosymplectic\, and normal almost contact stru
ctures. Our new concept provide a natural framework for all these geometr
ic objects on odd-dimensional manifolds. However\, there is a sharp contra
st with generalized complex geometry. Non-trivial examples can be construc
ted using a Boothby-Wang construction type. This is a joint work with Yat
Sun Poon.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141111T143000
DTEND;TZID=America/New_York:20141111T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21907
SUMMARY:GAP Seminar - Integration of singular foliations and usage
DESCRIPTION:Seminar: GAP Seminar\nTitle: Integration of singular foliations
and usage\nSpeaker: Iakovos Androulidakis\, University of Athens\nAbstrac
t: We discuss two aspects of integration\, one in the (classical) spirit o
f Sophus Lie and the other in the framework of operator algebras. Starting
from the context of regular foliations\, we explain the evolution of thes
e processes first to the almost regular case by C. Debord\, and finally to
singular foliations in full generality (joint work with G. Skandalis). We
also give the use of these integration processes\; the first integration
provides a normal form of the foliation around a (singular) leaf\, and the
second leads to calculations of the spectrum for longitudinal Laplace ope
rators.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141118T143000
DTEND;TZID=America/New_York:20141118T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21908
SUMMARY:GAP Seminar - The symplectic displacement energy
DESCRIPTION:Seminar: GAP Seminar\nTitle: The symplectic displacement energy
\nSpeaker: Augustin Banyaga\, Penn State\nAbstract: We show that the sympl
ectic displacement energy of a non-empty open subset of a compact symplect
ic manifold (i.e. the infimum of the Hofer-like norms of symplectic diffeo
morphisms that displace the subset) is a strictly positive number. We appl
y this fact to prove a result that justifies the introduction of the notio
n of strong symplectic homeomorphisms. This is a joint work with David Hur
tubise and Peter Spaeth.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141125T143000
DTEND;TZID=America/New_York:20141125T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21909
SUMMARY:GAP Seminar - TBA
DESCRIPTION:Seminar: GAP Seminar\nTitle: TBA\nSpeaker: Thanksgiving
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141202T143000
DTEND;TZID=America/New_York:20141202T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21910
SUMMARY:GAP Seminar - TBA
DESCRIPTION:Seminar: GAP Seminar\nTitle: TBA
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141209T143000
DTEND;TZID=America/New_York:20141209T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=21911
SUMMARY:GAP Seminar - The abstract Hodge--Dirac operator and its stable dis
cretization
DESCRIPTION:Seminar: GAP Seminar\nTitle: The abstract Hodge--Dirac operator
and its stable discretization\nSpeaker: Ari Stern\, Washington University
in St Louis\nAbstract: Dirac operators play an important role in linking
geometry and topology with the analysis of PDEs. I will discuss a relative
ly new approach to studying Hodge--Dirac-type operators (due to Axelsson\,
Keith\, and McIntosh\, Invent. Math.\, 2006)\, which uses an abstract for
malism involving nilpotent operators on Hilbert spaces\, but which neverth
eless preserves many key properties\, including the Hodge decomposition. I
will then present some recent work (joint with P. Leopardi) on the stable
discretization of these operators\, with applications to certain problems
in "discrete Clifford analysis" and numerical PDEs.
END:VEVENT
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