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METHOD:PUBLISH
X-WR-CALNAME:GAP 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
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DTSTART:19701101T020000
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160112T143000
DTEND;TZID=America/New_York:20160112T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29243
SUMMARY:GAP Seminar - Restrictions of infinite dimensional representations
DESCRIPTION:Seminar: GAP Seminar\nTitle: Restrictions of infinite dimension
al representations\nSpeaker: Birgit Speh\, Cornell\nAbstract Link: http://
www.dropbox.com/s/ggqs6pzne07kyo5/Abstract%20Penn%20seminar.pdf?dl=0
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160119T143000
DTEND;TZID=America/New_York:20160119T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29245
SUMMARY:GAP Seminar - Weighted manifolds and n-fold vector bundles
DESCRIPTION:Seminar: GAP Seminar\nTitle: Weighted manifolds and n-fold vect
or bundles\nSpeaker: Liza Vishnyakova\, University of São Paulo\nAbstract
Link: http://www.dropbox.com/s/ojh5bobo7t4jeiv/abstract_Liza%20Penn.pdf?d
l=0
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160126T143000
DTEND;TZID=America/New_York:20160126T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29247
SUMMARY:GAP Seminar - Separation of variables\, superintegrability and Bôc
her contractions
DESCRIPTION:Seminar: GAP Seminar\nTitle: Separation of variables\, superint
egrability and Bôcher contractions\nSpeaker: Willard Miller\, University
of Minnesota\nAbstract: Quantum superintegrable systems are exactly solvab
le quantum eigenvalue problems. Their solvability is due to symmetry\,\n\n
but the symmetry is often ``hidden''. The symmetry generators of 2nd order
superintegrable systems in 2 dimensions close under\ncommutation to defin
e quadratic algebras\, a generalization of Lie algebras. The irreducible r
epresentations of these algebras yields\nimportant information about the e
igenvalues and eigenspaces of the quantum systems. Distinct superintegrabl
e systems\n\nand their quadratic algebras are related by geometric contrac
tions\, induced by generalized Inönü-Wigner Lie algebra contractions\nw
hich have important physical and geometric implications\, such as the Aske
y scheme for obtaining all hypergeometric orthogonal\npolynomials as limit
s of Racah/Wilson polynomials. This can all be unified by ideas first int
roduced in the 1894 thesis of Bôcher to\nstudy R- separable solutions of
the wave equation.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160202T143000
DTEND;TZID=America/New_York:20160202T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29249
SUMMARY:GAP Seminar - Jacobi manifolds and their coisotropics
DESCRIPTION:Seminar: GAP Seminar\nTitle: Jacobi manifolds and their coisotr
opics\nSpeaker: Luca Vitagliano\, Università degli Studi di Salerno\nAbst
ract: Jacobi structures on manifolds were introduced by Kirillov and Lichn
erowicz in the 70s. They generalize and unify several interesting geometri
c structures like Poisson\, contact and locally conformal symplectic struc
tures. The talk is divided into two parts. In the first part I will review
the fundamentals of the geometry of Jacobi structures. In particular\, I
will present several examples and a local form theorem. The second part is
more technical and it is based on joint work with Hông Vân Lê\, Yong-G
eun Oh and Alfonso Tortorella: I will discuss coisotropic submanifolds of
Jacobi manifolds and the L-infinity algebra controlling their formal defor
mations.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160209T143000
DTEND;TZID=America/New_York:20160209T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29251
SUMMARY:GAP Seminar - Hamiltonian and Lagrangian structures in an integrabl
e hierarchy: space-time duality
DESCRIPTION:Seminar: GAP Seminar\nTitle: Hamiltonian and Lagrangian structu
res in an integrable hierarchy: space-time duality\nSpeaker: Vincent Caudr
elier\, City University of London\nAbstract: In the context of integrable
systems\, the object known as the classical r-matrix emerged from two rema
rkable discoveries: 1) integrable PDEs can be written as a Hamiltonian sys
tem by introducing an appropriate Poisson bracket of the (infinite dimensi
onal) phase space\; 2) combined with the Lax pair formulation and motivate
d by the question of canonical quantization of such Hamiltonian systems\,
certain fundamental Poisson brackets can be written as a commutator involv
ing a special matrix (the r matrix). Understanding these observations on a
fundamental level led to the discovery of Poisson-Lie groups and the mode
rn theory of classical integrable systems. However\, from the point of vie
w of the independent variables (x\,t) involved in the original PDEs\, the
entire theory is asymmetric. It is based only on "one half" of the Lax pai
r: the matrix describing the space evolution in the auxiliary problem at f
ixed time. In this talk\, I will introduce some motivations to treat both
independent variables x and t on equal footing. Using ideas from covariant
field theory\, the following observation will be made: it is possible to
construct a new Poisson bracket on the phase space of an integrable hierar
chy for which the fundamental Poisson brackets of the other half of the La
x pair have exactly the same structure as the usual one\, with the same r
matrix. Perhaps ironically\, this observation actually raises more questio
ns than it answers and I will mention some of them.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160216T143000
DTEND;TZID=America/New_York:20160216T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29253
SUMMARY:GAP Seminar - Jordan Groups\, Abelian Varieties and Conic Bundles
DESCRIPTION:Seminar: GAP Seminar\nTitle: Jordan Groups\, Abelian Varieties
and Conic Bundles\nSpeaker: Yuri Zarhin\, Penn State\nAbstract: A classica
l theorem of Jordan asserts that each finite subgroup of the complex gener
al linear group GL(n) is ``almost commutative": it contains a commutative
normal subgroup \nwith index bounded by a universal constant that depends
only on n.\nWe discuss an analogue of this property for the groups of bira
tional (and biregular) automorphisms of complex algebraic varieties and th
e groups of diffeomorphisms of real manifolds. \n\nThis is a report on a j
oint work with Tatiana Bandman (Bar-Ilan).
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160301T143000
DTEND;TZID=America/New_York:20160301T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29257
SUMMARY:GAP Seminar - Dolbeault-Dirac operators on complex homogeneous spac
es
DESCRIPTION:Seminar: GAP Seminar\nTitle: Dolbeault-Dirac operators on compl
ex homogeneous spaces\nSpeaker: Yanli Song\, University of Toronto\nAbstra
ct: Let G be a connected semisimple Lie group with a compact Cartan subgro
up H. As was conjectured by Langlands and solved by Schmid\, the L^2-cohom
ology spaces of homogeneous\, holomorphic line bundles over the manifold G
/H vanishes for all but one degree\, and the only non-vanishing degree giv
es a G-representation of the discrete series. In this talk\, I will discus
s an analytic approach to the above ''vanishing" result. It will lead to a
geometric computation of the K-multiplicities of the discrete series repr
esentations. This is a work in progress.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160308T143000
DTEND;TZID=America/New_York:20160308T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29259
SUMMARY:GAP Seminar - TBA
DESCRIPTION:Seminar: GAP Seminar\nTitle: TBA\nSpeaker: Spring Break
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160315T143000
DTEND;TZID=America/New_York:20160315T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29261
SUMMARY:GAP Seminar - Monotony for boundary representations of a free group
DESCRIPTION:Seminar: GAP Seminar\nTitle: Monotony for boundary representati
ons of a free group\nSpeaker: Adrien Boyer\, Weizmann Institute\nAbstract:
I will discuss the ideas of Tim Steger and Gabriella Kuhn to study the ir
reducible representations of free group and explain how they are related t
o the standard classification of irreducible representations of SL(2\,R).
In particular I will focus on the phenomenon called “Monotony” discove
red by Steger an Kuhn. I will explain how some ideas coming from ergodic t
heory give a new method to prove that large classes of irreducible represe
ntations on the boundary of free group satisfy Monotony. If I have enough
time I will consider the general case of hyperbolic groups to explain whi
ch ideas of Steger and Kuhn survive to this general setting.\n\nThis is a
work in progress in collaboration with Lukasz Garncarek.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160322T143000
DTEND;TZID=America/New_York:20160322T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29263
SUMMARY:GAP Seminar - Higher Lie Groups and Quantum Field Theory
DESCRIPTION:Seminar: GAP Seminar\nTitle: Higher Lie Groups and Quantum Fiel
d Theory\nSpeaker: Adrian Ocneanu\, Penn State\nAbstract: Non–perturba
tive QFT models require that space–time be filled with mathematical oper
ations\, or intertwiners. Usual mathematics provides data for 1+1 dimensio
ns\, such as CFT or the surface of a string.\n\nWe describe higher mathema
tical structures and their crystallography for which operations would fill
the physical 3+1 dimensional space.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160325T110000
DTEND;TZID=America/New_York:20160325T120000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=31617
SUMMARY:GAP Seminar - Positivity of the complex Laplacian
DESCRIPTION:Seminar: GAP Seminar\nTitle: Positivity of the complex Laplacia
n\nSpeaker: Siqi Fu\, Rutgers University\,\nAbstract: In this expository t
alk\, we will discuss relevant results related to\npositivity of the compl
ex Laplacian. Here\, the complex Laplacian is a self-adjoint operator def
ined on forms with square integrable coefficients on a complex manifold wi
th boundary. Our emphasis is on how spectral properties of the complex La
placian interplay with geometric properties of the underlying manifold.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160405T143000
DTEND;TZID=America/New_York:20160405T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29267
SUMMARY:GAP Seminar - Orbit method for quantum homogeneous spaces
DESCRIPTION:Seminar: GAP Seminar\nTitle: Orbit method for quantum homogeneo
us spaces\nSpeaker: Nicola Ciccoli\, University of Perugia\nAbstract: In t
his talk we will review results on the orbit method for homogeneous spaces
of compact quantum groups\, which gives rise to $C^*$--algebra quantizat
ions. We will show how groupoid quantization may be of help in understandi
ng some of the features of the correspondence between symplectic leaves an
d unitary irreducible representations\, and give some new\nresults for the
case of non standard complex quantum projective spaces.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160412T143000
DTEND;TZID=America/New_York:20160412T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29269
SUMMARY:GAP Seminar - The reduced dual of a quantized complex semisimple gr
oup
DESCRIPTION:Seminar: GAP Seminar\nTitle: The reduced dual of a quantized co
mplex semisimple group\nSpeaker: Robert Yuncken\, Université Blaise Pasca
l\, Clermont-Ferrand\nAbstract: The goal of this talk is to give a rapid s
urvey of the unitary representation theory of quantized complex semisimple
Lie groups beginning with the definition of these quantum groups and culm
inating with the Plancherel formula and the structure of the reduced C*-al
gebra.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160419T143000
DTEND;TZID=America/New_York:20160419T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29271
SUMMARY:GAP Seminar - Some Properties of Frobenius Lie Algebras.
DESCRIPTION:Seminar: GAP Seminar\nTitle: Some Properties of Frobenius Lie A
lgebras.\nSpeaker: Tony Giaquinto\, Loyola University Chicago\nAbstract:
A Lie algebra is Frobenius if there exists a linear functional F such that
the bilinear form F([x\, y]) is non-degenerate. The relation between Frob
enius Lie algebras and the classical Yang-Baxter equation (CYBE) is well-s
tudied. In this talk I will show how to explicitly construct solutions to
the CYBE from certain graphs associated to the linear functional F. I will
also report on the principal element\, the Ooms Spectrum\, and other inte
resting properties and conjectures about Frobenius Lie algebras
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160426T143000
DTEND;TZID=America/New_York:20160426T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29273
SUMMARY:GAP Seminar - Contraction algebra and invariants associated to thre
e dimensional flopping contraction
DESCRIPTION:Seminar: GAP Seminar\nTitle: Contraction algebra and invariants
associated to three dimensional flopping contraction\nSpeaker: Zheng Hua
\, University of Hong Kong\nAbstract: The contraction algebra is defined b
y Donovan and Wemyss in the study of noncommutative deformation theory. In
this talk\, we will explain how to use contraction algebra to study the t
hree dimensional flopping contraction. We will show that the derived categ
ory of singularities and the subcategory of complexes support on the excep
tional curve can be reconstructed from the contraction algebra. These reco
nstruction theorems suggest that the contraction algebra can be viewed as
a noncommutative analogue of the Milnor ring of hyper surface singularity.
We will also explain how to recover the genus 0 Gopakumar-Vafa invariants
from the contraction algebra. This talk is based on a joint work with Yuk
inobu Toda: arxiv :1601.04881
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160503T143000
DTEND;TZID=America/New_York:20160503T153000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=29275
SUMMARY:GAP Seminar - TBA
DESCRIPTION:Seminar: GAP Seminar\nTitle: TBA\nAbstract Link: http://
END:VEVENT
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