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PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:MASS 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
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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:20140904T131500
DTEND;TZID=America/New_York:20140904T143000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24008
SUMMARY:MASS Colloquium - Ramanujan\, Fibonacci numbers\, and Continued Fra
ctions or Why I Took Zeckendorf's Theorem Along On My Last Trip To Canada
DESCRIPTION:Seminar: MASS Colloquium\nTitle: Ramanujan\, Fibonacci numbers
\, and Continued Fractions or Why I Took Zeckendorf's Theorem Along On My
Last Trip To Canada\nSpeaker: George Andrews\, Penn State University\nAbst
ract: This talk focuses on the famous Indian genius\, Ramanujan. One obje
ct will be to give some account of his meteoric rise and early death. We s
hall try to lead from some simple problems involving Fibonacci numbers to
a discussion of some of Ramanujan's achievements including some things fro
m his celebrated Lost Notebook.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140911T131500
DTEND;TZID=America/New_York:20140911T143000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24048
SUMMARY:MASS Colloquium - Introduction to Entropy
DESCRIPTION:Seminar: MASS Colloquium\nTitle: Introduction to Entropy\nSpeak
er: Yuri Suhov\, Penn State / University of Cambridge\, UK\nAbstract: The
entropy is a famous quantity which is used widely in Math\, Physics\, Biol
ogy\, Economics\, let alone Information Theory. The concept of entropy is
also popular in culture: it inspired (and continues\nto inspire) poets\, a
rtists and musicians. I will introduce and discuss basic properties of ent
ropy which are of interest in many applications. Some of them will be qui
te surprising. I will also tell some elegant stories involving entropy. N
o preliminary knowledge of probability theory is required\, apart from com
mon sense and first principles.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140918T132500
DTEND;TZID=America/New_York:20140918T142500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24050
SUMMARY:MASS Colloquium - Commutative implies associative?
DESCRIPTION:Seminar: MASS Colloquium\nTitle: Commutative implies associativ
e?\nSpeaker: John Roe\, Penn State University\nAbstract: By introducing th
e symbol i\, with i^{2}=-1\, one can pass from the field of real n
umbers to the larger field of complex numbers. In the 19th century variou
s attempts were made to define still larger "generalized number" fields\,
such as the quaternions and octonions\, but all of these sacrifice some of
the familiar "laws" of arithmetic: the quaternions are no longer commutat
ive\, the octonions not even associative. Notice that the commutative law
apparently "dies" first. Around 1940\, Heinz Hopf made an investigation
of generalized number systems that were commutative but not necessarily as
sociative\, and he found that the reals and the complexes are the only exa
mples. In other words\, the commutative law implies the associative law (
in the context in which he was working). Hopfs methods are topological\, a
nd are closely related to developments in topology in the latter half of t
he 20th century. \n**Note: The talk starts at 1:25 p.m. **
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140925T132500
DTEND;TZID=America/New_York:20140925T142500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24052
SUMMARY:MASS Colloquium - The William Pritchard Fluid Mechanics Laboratory
DESCRIPTION:Seminar: MASS Colloquium\nTitle: The William Pritchard Fluid Me
chanics Laboratory\nSpeaker: Vishal Vasan\, Penn State University\nAbstrac
t: Fluid mechanics is a very old branch of mathematics. However it is not
only the source of some of the most difficult problems in mathematics but
also a very relevant area of research in the modern age. Penn State is one
of the few Departments of Mathematics that houses a physical laboratory t
o conduct experiments in fluid mechanics. In this talk\, I give a brief de
scription of some of the experiments we perform in the lab\, the physical
questions being asked as well as the associated mathematics. Then we will
walk down to the basement for a tour of the lab and its facilities.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141002T132500
DTEND;TZID=America/New_York:20141002T142500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24054
SUMMARY:MASS Colloquium - Stimulus space geometry and topology from neural
activity
DESCRIPTION:Seminar: MASS Colloquium\nTitle: Stimulus space geometry and to
pology from neural activity\nSpeaker: Carina Curto\, Penn State University
\nAbstract: Neural activity data can be used to infer subsets of co-active
neurons in a network. By considering neurons in the hippocampus that enc
ode position information\, I will show how these data can be used to infer
topological and geometric features of the stimulus space the neurons are
encoding. Our results rely on an unexpected application of the Nerve Lemm
a from algebraic topology.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141016T131500
DTEND;TZID=America/New_York:20141016T141500
LOCATION:MB113
URL:http://www.math.psu.edu/seminars/meeting.php?id=25434
SUMMARY:MASS Colloquium - Ramsey Theory and Dynamics
DESCRIPTION:Seminar: MASS Colloquium\nTitle: Ramsey Theory and Dynamics\nSp
eaker: Vitaly Bergelson\, Ohio State University\nAbstract: We will start t
he talk with formulating and discussing some of the classical results of
Ramsey theory\, a branch of combinatorics which studies the structure of m
athematical objects that is preserved under partitions. Next\, we will sho
w that some of these results can be naturally viewed as dynamical question
s about the recurrence in topological and/or volume preserving systems. We
will conclude with the discussion of some of the recent developments and
open problems.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141023T132500
DTEND;TZID=America/New_York:20141023T142500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24059
SUMMARY:MASS Colloquium - Evolution of resistance to white pine blister rus
t in high-elevation pines
DESCRIPTION:Seminar: MASS Colloquium\nTitle: Evolution of resistance to whi
te pine blister rust in high-elevation pines\nSpeaker: Simon Tavener\, Col
orado State University\nAbstract: Five-needle white pines play an importan
t role in high-elevation ecosystems but are highly susceptible to white pi
ne blister rust (WPBR) caused by a nonnative fungal pathogen. We construct
a nonlinear\, stage-structured infection model to investigate the effect
of WPBR on the dynamics and stand structure of high-elevation five-needle
white pines. Management decisions are by definition short-term perturbatio
ns that require analysis of transient behavior and we have developed a gen
eral software package to examine both transient and equilibrium sensitivit
ies and elasticities. The presence in a population of a resistant genotype
can modify both transient and equilibrium behaviors and suggest potential
new control strategies. We extend our model to include a resistant allele
at a single genetic locus and provide preliminary results. This work was
conducted as part of an NSF sponsored undergraduate research program (FESc
UE) at the intersection of mathematics and biology.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141030T132500
DTEND;TZID=America/New_York:20141030T142500
LOCATION:MB113
URL:http://www.math.psu.edu/seminars/meeting.php?id=24061
SUMMARY:MASS Colloquium - Random walks: simple and self-avoiding
DESCRIPTION:Seminar: MASS Colloquium\nTitle: Random walks: simple and self-
avoiding\nSpeaker: Greg Lawler\, University of Chicago\nAbstract: Many phe
nomena are modeled by walkers that wander randomly. The case of complete
\nrandomness is well understood -- I will survey some of the key facts inc
luding the\nidea that the set of points visited by a random walker in any
dimension (greater than one) is two.\nI will then discuss a much harder pr
oblem -- what happens when you do not allow the walker to return\nto point
s? Many of the interesting questions about this "self-avoiding walk" are
still open mathematical problems.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141106T132500
DTEND;TZID=America/New_York:20141106T142500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24063
SUMMARY:MASS Colloquium - Solutions to polynomials in two variables
DESCRIPTION:Seminar: MASS Colloquium\nTitle: Solutions to polynomials in tw
o variables\nSpeaker: Thomas Tucker\, University of Rochester\nAbstract: Y
ou may remember the quadratic formula for finding solutions\nto quadratic
polynomials in one variable. It is natural to ask: are\nthere formulas li
ke this for polynomials of higher degree? The\nanswer\, roughly speaking
\, is yes. Going further\, one might ask: what\nabout polynomials in more
than one variable? Here\, the answer is far\nmore complicated\, and invo
lves geometry in what may seem a surprising\nway. One famous example of t
his type of polynomial equation is the\nFermat equation x^n + y^n = z^n.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141113T132500
DTEND;TZID=America/New_York:20141113T142500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24065
SUMMARY:MASS Colloquium - Lengthening the edges of a tetrahedron
DESCRIPTION:Seminar: MASS Colloquium\nTitle: Lengthening the edges of a tet
rahedron\nSpeaker: Richard Schwartz\, Brown University\nAbstract: I'll des
cribe what happens to the volume of a tetrahedron\nwhen one lengthens some
or all of the edges of the tetrahedron. The\nanalysis involves the Cayle
y-Menger determinant\, a computer algorithm\nfor certifying that a polynom
ial is positive on a simplex\, and a very\npretty triangulation of the mod
uli space of "tetrahedron-like" labelings\nof the complete graph on 4 vert
ices.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141120T132500
DTEND;TZID=America/New_York:20141120T142500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24067
SUMMARY:MASS Colloquium - PDE models of traffic flow
DESCRIPTION:Seminar: MASS Colloquium\nTitle: PDE models of traffic flow\nSp
eaker: Alberto Bressan\, Penn State University\nAbstract: Daily traffic pa
tterns are the result of a large number \nof individual decisions\, where
each driver chooses an optimal \ndeparture time and an optimal route to re
ach destination. \n\nFrom a mathematical perspective\, traffic flow can
be modeled by \na family of conservation laws\, describing the density of
cars along each road.\nIn addition\, one can introduce a cost functional
\, accounting for the\ntime that each driver spends on the road and a pena
lty for late arrival.\n\nIn this talk I shall explain how to construct sol
utions of these PDEs\, \nand discuss the existence of (i) globally opti
mal solutions\, \nminimizing the sum of the costs to all drivers\, \nand (
ii) Nash equilibria\, where no driver can lower his individual cost\nby c
hanging his own departure time\, or the route taken to destination.\n\nAn
intriguing mathematical problem is to understand the dynamic stability of
\nNash equilibria. In this direction\, some numerical experiments and
\nconjectures will be presented.
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