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PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
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METHOD:PUBLISH
X-WR-CALNAME:Ph.D. Thesis Defense
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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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160226T093000
DTEND;TZID=America/New_York:20160226T120000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=31408
SUMMARY:Ph.D. Thesis Defense - "Asymptotic formulae in analytic number theo
ry"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "Asymptotic formulae in a
nalytic number theory"\nSpeaker: Ayla Gafni - Adviser: R. Vaughan\, Penn
State\nAbstract Link: http://\nAbstract: This dissertation is composed of
two main results. The first is an asymptotic formula for $p^k(n)$\, the n
umber of partitions of a number $n$ into $k$-th powers. As an immediate c
onsequence of this formula\, we derive an asymptotic equivalence for $p^k(
n)$ which was claimed without proof in a 1918 paper of Hardy and Ramanujan
. The result is established using the Hardy-Littlewood circle method. As
a necessary step in the proof\, we obtain a non-trivial bound on exponent
ial sums of the form $\\sum_{m=1}^q e(am^k/q)$.\n\nThe second result is an
asymptotic formula for the number of rational points near planar curves.
More precisely\, if $f:\\mathbb{R}\\rightarrow\\mathbb{R}$ is a sufficien
tly smooth function defined on the interval $[\\eta\,\\xi]$\, then the num
ber of rational points with denominator no larger than $Q$ that lie within
a $\\delta$-neighborhood of the graph of $f$ is shown to be asymptoticall
y equivalent to $(\\xi-\\eta)\\delta Q^2$. This result has implications t
o the field of metric Diophantine approximation.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160301T100000
DTEND;TZID=America/New_York:20160301T123000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=31409
SUMMARY:Ph.D. Thesis Defense - TBA
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: TBA\nSpeaker: Daniel Droz
- Adviser: Gary Mullen\, Penn State\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160314T153100
DTEND;TZID=America/New_York:20160314T172900
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=31410
SUMMARY:Ph.D. Thesis Defense - TBA
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: TBA\nSpeaker: William Che
n - Adviser: W. Li\, Penn State\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160420T150000
DTEND;TZID=America/New_York:20160420T170000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=31685
SUMMARY:Ph.D. Thesis Defense - "Rokhlin type theorems in operator algebras"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "Rokhlin type theorems in
operator algebras"\nSpeaker: Hung-Chang Liao\, Adviser: Nate Brown\, Pen
n State\nAbstract Link: http://\nAbstract: The classical Rokhlin lemma in
ergodic theory asserts that an ergodic measure preserving transformation o
n a non-atomic probability space can be approximated by shifts in a suitab
le sense. In the 1970s\, Alain Connes obtained a noncommutative analogue f
or finite von Neumann algebras\, proving that outer Z-actions on the hyper
finite II_1 factor have the so-called Rokhlin property. This result turns
out to be fundamental in understanding the symmetry and structure of injec
tive factors of type II and type III. In this talk\, we will discuss simil
ar results in the C*-setting\, and explain its relationship with covering
dimension of nuclear C*-algebras.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160428T121500
DTEND;TZID=America/New_York:20160428T141500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=31686
SUMMARY:Ph.D. Thesis Defense - "Smooth Rigidity of Partially Hyperbolic Abe
lian Actions"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "Smooth Rigidity of Parti
ally Hyperbolic Abelian Actions"\nSpeaker: Kurt Vinhage\, Adviser: Anatole
Katok\, Penn State\nAbstract Link: http://\nAbstract: Smooth rigidity is
a phenomenon which stengthens the structural \nstability property that is
prevalent throughout Anosov systems and \nnormal hyperbolicity persistence
for partially hyperbolic systems. Such \ncases were first developed by Ka
tok and Spatzier for Anosov systems and \nextended to certain limited case
s of partially hyperbolic homogeneous \nsystems by Damjanovic and Katok. B
y applying previously undiscovered \nconnections between classical ideas i
n topological groups and these \nsystems\, we are able to extend smooth ri
gidity to a much broader class \nof homogeneous actions: first to generic
restrictions\, and by carefully \nconsidering generating relations among s
ubclasses of unipotent \nsubgroups\, general partially hyperbolic actions
on semisimple Lie group \nquotient and their semidirect products. In the c
ase of simple Lie \ngroups\, get an optimal result in the case of semisimp
le actions.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160502T100000
DTEND;TZID=America/New_York:20160502T120000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=31562
SUMMARY:Ph.D. Thesis Defense - TBA
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: TBA\nSpeaker: Siyang Zhan
g\, Advisor Anna Mazzucato\, Penn State University
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160504T093000
DTEND;TZID=America/New_York:20160504T123000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=31489
SUMMARY:Ph.D. Thesis Defense - Uniqueness and singularities of weak solutio
ns to some nonlinear wave equations
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: Uniqueness and singularit
ies of weak solutions to some nonlinear wave equations\nSpeaker: Qingtian
Zhang\, Adviser: Alberto Bressan\, Penn State\nAbstract: I will talk about
several results I obtained during my phd period. First result is the uniq
ueness of conservative weak solution to (two-component) Camassa-Holm equat
ions\, and variational wave equations. They are mainly based on the repres
entation of solutions along the characteristics. I will also present the
results on generic singularities of Camassa-Holm equation and two-componen
t Camassa-Holm equations\, revealing their differences. For the case of cu
bic Camassa-Holm equation\, where the characteristic method fails\, I will
prove the global wellposedness of weak solution by Kruzkov's theory. Last
part will be the results on p-system. I will provide several examples sho
wing that the BV norm of approximate solutions may blow up.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160504T093000
DTEND;TZID=America/New_York:20160504T113000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=31729
SUMMARY:Ph.D. Thesis Defense - TBA
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: TBA\nSpeaker: Qingtian Zh
ang\, Adviser: Alberto Bressan\, Penn State\nAbstract Link: http://
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