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PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
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CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Department of Mathematics Colloquium
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:20140828T153000
DTEND;TZID=America/New_York:20140828T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22004
SUMMARY:Department of Mathematics Colloquium - Diversity Workshop
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: Diversity
Workshop\nSpeaker: Diversity Workshop
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140904T143000
DTEND;TZID=America/New_York:20140904T152000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22005
SUMMARY:Department of Mathematics Colloquium - ASYMPTOTIC ISSUES
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: ASYMPTOTI
C ISSUES\nSpeaker: Professor Michel Chipot\, University of Zurich (Host: C
hun Liu)\nAbstract: We would like to present some results on the asymptoti
c behaviour of different\nproblems set in cylindrical domains of the type
`ω1 × ω2 when ` → ∞. For i = 1\, 2\nωi are two bounded open subset
s in R\ndi\n.\nTo fix the ideas on a simple example consider for instance
ω1 = ω2 = (−1\, 1)\nand u` the solution to\n−∆u` = f in Ω` = (
`\, `) × (−1\, 1) \, u` = 0 on ∂Ω`.\nIt is more or less clear that
\, when ` → ∞\, u` will converge toward u∞ solution to\n−∆u∞ =
f in Ω∞ = (−∞\, ∞) × (−1\, 1) \, u∞ = 0 on ∂Ω∞.\nHow
ever this problem has infinitely many solutions since for every integer k
\nexp(kπx1)sin(kπx2)\nis solution of the corresponding homogeneous probl
em. Our goal is to explain the\nselection process of the solution for diff
erent problems of this type when ` → ∞.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140918T153000
DTEND;TZID=America/New_York:20140918T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22007
SUMMARY:Department of Mathematics Colloquium - TBA
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: TBA
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140925T153000
DTEND;TZID=America/New_York:20140925T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22009
SUMMARY:Department of Mathematics Colloquium - Genus-2 generating functions
for semisimple cohomological field theory.
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: Genus-2 g
enerating functions for semisimple cohomological field theory.\nSpeaker: X
iaobo Liu\, Notre Dame and PKU (Host: Ping Xu)\nAbstract: An axiomatic def
inition of cohomological field thoeries (CohFT) was introduced by Kontsevi
ch and Manin. This thoery includes Gomov-Witten thoery and quantum singula
rity theory as special cases. The genus-0 part of a CohFT introduces a Fro
benius manifold structure. When the Frobenius manifold is semisimple\, the
genus-2 potential function can be solved from universal equations or Vira
soro constraints. The solution depends on the so called canonical coordina
tes on the Frobenius manifolds. Recently B. Dubrovin\, S. Liu\, and Y. Zha
ng introduced the concept of genus-2 G-function which captures the most co
mplicated part of the genus-2 potential function and conjectured that genu
s-2 G-function vanishes for quantum singularities of ADE type and orbifold
Gromov-Witten theory of P^1 orbifolds of ADE type. In a joint work with X
in Wang\, we gave a sufficient condition for the vanishing of the genus-2
G-function and proved the conjecture of Dubrovin-Liu-Zhang.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141002T153000
DTEND;TZID=America/New_York:20141002T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=25432
SUMMARY:Department of Mathematics Colloquium - Modeling Electrodiffusion an
d Osmosis in Physiological Systems
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: Modeling
Electrodiffusion and Osmosis in Physiological Systems\nSpeaker: Yoichiro M
ori\, University of Minnesota (Host: Chun Liu)\nAbstract: Electrolyte and
cell volume regulation is essential in physiological systems. After a bri
ef introduction to cell volume control and electrophysiology\, I will disc
uss the classical pump-leak model of electrolyte and cell volume control.
I will then generalize this to a PDE model that allows for the modeling o
f tissue-level electrodiffusive\, convective and osmotic phenomena. This
model will then be applied to the study of cortical spreading depression.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141009T153000
DTEND;TZID=America/New_York:20141009T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22010
SUMMARY:Department of Mathematics Colloquium - On the inviscid limit and st
ability of boundary layers of Navier-Stokes
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: On the in
viscid limit and stability of boundary layers of Navier-Stokes\nSpeaker:
Toan Nguyen\, Penn State University\nAbstract: I will overview several rec
ent results concerning the inviscid limit and stability / instability of
boundary layers in fluid dynamics (precisely\, for 2D incompressible Navi
er-Stokes equations). These issues are very classical: in fact\, there ar
e major works by prominent physicists such as Lord Rayleigh\, W. Orr\, A.
Sommerfeld\, Tollmien\, C.C. Lin\, among others\, on the subject\, using
the spectral analysis and the Fourier normal mode theory. Physicists are
interested in the estimation of the critical Rayleigh number (typically
\, very large) for laminar flows as well as the transition from laminar t
o turbulent flows. One of the results that I will discuss is to rigorousl
y prove that there is always a non-empty range of wave numbers and Reynol
ds numbers between which generic laminar boundary layer flows are spectra
llly unstable\, despite the fact that at the infinite Reynolds number\, t
he profiles are stable. The instability is therefore due to the presence
of viscosity! Next\, we use this instability result to show that boundary
layer expansions in the inviscid limit are generally invalid. We also ma
ke a formal link of our construction with the multi-layer analysis and th
e classical Kato's criterium for the validity of the inviscid limit. Sev
eral other significant progresses in the subject will also be briefly dis
cussed. This talk is intended to be accessible to graduate students.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141016T153000
DTEND;TZID=America/New_York:20141016T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22011
SUMMARY:Department of Mathematics Colloquium - Entropy methods and the SL(2
\,R) action on Moduli space.
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: Entropy m
ethods and the SL(2\,R) action on Moduli space.\nSpeaker: Alex Eskin\, Dyn
amical Systems Speaker\, University of Chicago (Host: Boris Kalinin)\nAbst
ract: I will outline the first part of my recent proof with Maryam Mirzakh
ani of the measure classification theorem for this action. This part is an
entropy based argument\, closely related to that of Einsiedler-Katok-Lind
enstrauss and others. (No knowledge of Teichmuller theory is required).
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141023T153000
DTEND;TZID=America/New_York:20141023T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22012
SUMMARY:Department of Mathematics Colloquium - A posteriori error analysis
for multirate\, multiphysics problems
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: A posteri
ori error analysis for multirate\, multiphysics problems\nSpeaker: Simon T
avener\, Colorado State University (Host: Andrew Belmonte)\nAbstract: Fini
te element methods are well-established and popular techniques for solving
systems of partial differential equations. A priori analyses of finite el
ement methods seek to establish error bounds in appropriate norms and to d
etermine rates of convergence with mesh refinement. Adjoint-based a poste
riori analyses seek to estimate the error in a functional of the solution
(a “quantity of interest”) for a given numerical calculation. Computat
ion plays an essential role in many areas of science and technology where
we seek to understand complex systems involving multiple physical processe
s which often evolve on distinctly different time scales. Complicating mat
ters\, the model parameters and even computational domains may be uncertai
n. Further\, specific numerical approaches such as finite volume methods o
r explicit time integration techniques may be entrenched within particular
scientific communities. The goal of this work is to use mathematically ap
pealing adjoint-based a posteriori ideas to develop accurate a posteriori
error estimates for a range of computational problems encountered in pract
ice and to use the insights gained in to the multiple sources of error to
construct adaptive computational strategies.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141030T140000
DTEND;TZID=America/New_York:20141030T145000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22013
SUMMARY:Department of Mathematics Colloquium - From Stochastic Modeling to
Fractional Modeling: New Tools in Large-Scale Simulations
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: From Stoc
hastic Modeling to Fractional Modeling: New Tools in Large-Scale Simulatio
ns\nSpeaker: George Em Karniadakis\, Brown University (Host: Jinchao Xu)\n
Abstract: In many simulations in fluid and solid mechanics but even in mol
ecular simulations there are many sources of uncertainty\, anomalous dynam
ics and memory effects\, e.g. associated with material properties\, bounda
ry conditions and strong heterogeneity or confinement. These phenomena can
not be captured with the standard tools of computational mechanics. Such e
ffects may contribute to large errors in simulation\, often much larger th
an the spatio-tempral errors\, leading to erroneous dynamics or performanc
e predictions. We will present new stochastic modeling approaches as well
as deterministic fractional models that provide more flexibility and possi
bly greater rigor in quantifying and predicting such phenomena in large-sc
ale multi-physics simulations.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141030T153000
DTEND;TZID=America/New_York:20141030T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22014
SUMMARY:Department of Mathematics Colloquium - Understanding planar self-av
oiding walks
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: Understan
ding planar self-avoiding walks\nSpeaker: Greg Lawler\, University of Chic
ago (Host: Victoria Sadovskaya)\nAbstract: The self-avoiding walk was intr
oduced by Paul Flory in the mid twentieth century as a model of polymer ch
ains. While it was a simple model to state\, it is still an open problem
to analyze it rigorously. However\, we do understand the (conjectured) sca
ling limit which is a self-avoiding continuous process with paths of fract
al dimension 4/3. I will give an introduction to this area and hope to sh
ow how the polymer problem in two dimensions is both very well understood
and yet a big open problem. This talk is intended for a general mathemati
cal audience.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141106T153000
DTEND;TZID=America/New_York:20141106T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=25433
SUMMARY:Department of Mathematics Colloquium - TBA
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: TBA\nAbst
ract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141113T153000
DTEND;TZID=America/New_York:20141113T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22015
SUMMARY:Department of Mathematics Colloquium - The projective heat map acti
ng on pentagons
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: The proje
ctive heat map acting on pentagons\nSpeaker: Richard Schwartz\, Brown Univ
ersity (Host: Mark Levi)\nAbstract: I will describe a straight-line constr
uction in which\n> one starts with an N-gon P and produces a new N-gon P'.
The\n> operation is projectively natural - i.e. commutes with projective
\n> transformations - and also has some resemblance to heat flow. I'll\n>
give some computer demonstrations showing what this map appears to\n> do
in general\, and then sketch a proof of what happens for pentagons.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141127T153000
DTEND;TZID=America/New_York:20141127T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22017
SUMMARY:Department of Mathematics Colloquium - Thanksgiving Break
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: Thanksgiv
ing Break\nSpeaker: Thanksgiving Break
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141204T153000
DTEND;TZID=America/New_York:20141204T163000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=25764
SUMMARY:Department of Mathematics Colloquium - TBA
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: TBA
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141211T153000
DTEND;TZID=America/New_York:20141211T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22019
SUMMARY:Department of Mathematics Colloquium - Why am I interested in the F
eynman transform of the operad governing commutative algebras?
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: Why am I
interested in the Feynman transform of the operad governing commutative al
gebras?\nSpeaker: Vasily Dolgushev\, Temple University (Host: Mathieu Stie
non)\nAbstract: Operads and their generalizations are ubiquitous in mathem
atics.\nOne possible way to get an example of an operad is to consider\nth
e collection $\\{\\operatorname{Hom}(X^n\, X)\\}_{n \\ge 1}$ of sets of ma
ps\nfor a fixed set $X$.\nAnother example comes from the Fulton--MacPherso
n compactification\nof the configuration space of points. While for usual
operads multiplications are encoded by planar trees\, for \\emph{modular o
perads}\, introduced by Getzler and Kapranov\, multiplications are encoded
by certain graphs with some additional data.\n\nMy talk is devoted to a m
odular operad which was introduced\nby Kapranov in his seminal paper on Ro
zansky--Witten invariants. I will\nexplain how this modular operad is rela
ted to Vassiliev finite type invariants of framed knots and to computation
of homotopy groups of spaces of long knots ``modulo immersions.''
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141218T153000
DTEND;TZID=America/New_York:20141218T162000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22020
SUMMARY:Department of Mathematics Colloquium - TBA
DESCRIPTION:Seminar: Department of Mathematics Colloquium\nTitle: TBA
END:VEVENT
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