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X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Hong Wang (IAS)
DTSTART;VALUE=DATE-TIME:20200421T220000Z
DTEND;VALUE=DATE-TIME:20200421T230000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/1
DESCRIPTION:Title: Distinct distances for well-separated sets\nby Hong Wan
g (IAS) as part of UCLA analysis and PDE seminar\n\nLecture held in https:
//ucla.zoom.us/j/9264073849.\n\nAbstract\nGiven a set E of dimension s>1\,
Falconer conjectured that its distance set \\Delta(E)=\\{|x-y|: x\, y\\in
E\\} should have positive Lebesgue measure. Orponen\, Shmerkin and Keleti
-Shmerkin proved the conjecture for tightly spaced sets\, for example\, AD
-regular sets.\n\nIn this talk\, we are going to discuss the opposite type
: well-separated sets. This is joint work with Larry Guth and Noam Solomon
.\n
LOCATION:Lecture held in https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ioannis Angelopoulos (Caltech)
DTSTART;VALUE=DATE-TIME:20200421T230000Z
DTEND;VALUE=DATE-TIME:20200422T000000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/2
DESCRIPTION:Title: Semi-global constructions of vacuum spacetimes\nby Ioan
nis Angelopoulos (Caltech) as part of UCLA analysis and PDE seminar\n\nLec
ture held in https://ucla.zoom.us/j/9264073849.\n\nAbstract\nI will descri
be some techniques for constructing semi-global solutions to the character
istic initial value problem for the vacuum Einstein equations with differe
nt types of data\, and will also mention some applications as well as some
open problems in the area.\n
LOCATION:Lecture held in https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joni Teravainen (Oxford)
DTSTART;VALUE=DATE-TIME:20200428T170000Z
DTEND;VALUE=DATE-TIME:20200428T180000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/3
DESCRIPTION:Title: Higher order uniformity of the Möbius function\nby Jon
i Teravainen (Oxford) as part of UCLA analysis and PDE seminar\n\nLecture
held in https://ucla.zoom.us/j/9264073849.\n\nAbstract\nRecently\, Matomä
ki\, Radziwiłł and Tao showed that the Möbius function is discorrelated
with linear exponential phases on almost all short intervals. I will disc
uss joint work where we generalize this result to a much wider class of ph
ase functions\, showing that the Möbius function does not correlate with
polynomial phases or more generally with nilsequences. I will also discuss
applications to superpolynomial word complexity for the Liouville sequenc
e and to counting polynomial patterns weighted by the Möbius function.\n
LOCATION:Lecture held in https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Beltran (U. Madison Wisconsin)
DTSTART;VALUE=DATE-TIME:20200505T220000Z
DTEND;VALUE=DATE-TIME:20200505T230000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/4
DESCRIPTION:Title: Regularity of the centered fractional maximal function\
nby David Beltran (U. Madison Wisconsin) as part of UCLA analysis and PDE
seminar\n\nLecture held in https://caltech.zoom.us/j/747242458.\n\nAbstrac
t\nI will report some recent progress regarding the boundedness of the map
$f \\mapsto |\\nabla M_\\beta f|$ from the endpoint space $W^{1\,1}(\\mat
hbb{R}^d)$ to $L^{d/(d-\\beta)}(\\mathbb{R}^d)$\, where $M_\\beta$ denotes
the fractional version of the centered Hardy--Littlewood maximal function
. A key step in our analysis is a pointwise relation between the centered
and non-centered fractional maximal functions at the derivative level\, wh
ich allows to exploit the known techniques in the non-centered case.\n\nTh
is is joint work with José Madrid.\n
LOCATION:Lecture held in https://caltech.zoom.us/j/747242458
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luca Spolaor (UCSD)
DTSTART;VALUE=DATE-TIME:20200505T230000Z
DTEND;VALUE=DATE-TIME:20200506T000000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/5
DESCRIPTION:Title: Regularity of the free boundary for the two-phase Berno
ulli problem\nby Luca Spolaor (UCSD) as part of UCLA analysis and PDE semi
nar\n\nLecture held in https://caltech.zoom.us/j/747242458.\n\nAbstract\nI
will describe a recent result obtained in collaboration with G. De Philip
pis and B. Velichkov concerning the regularity of the free boundaries in t
he two phase Bernoulli problems. The novelty of our work is the analysis o
f the free boundary at branch points\, where we show that it is given by t
he union of two C1 graphs. This completes the work started by Alt\, Caffar
elli\, and Friedman in the 80’s.\n
LOCATION:Lecture held in https://caltech.zoom.us/j/747242458
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dmitry Khavinson (U. South Florida)
DTSTART;VALUE=DATE-TIME:20200519T230000Z
DTEND;VALUE=DATE-TIME:20200520T000000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/6
DESCRIPTION:Title: Classical Potential Theory from the High Ground of Line
ar Holomorphic PDE\nby Dmitry Khavinson (U. South Florida) as part of UCLA
analysis and PDE seminar\n\nLecture held in https://ucla.zoom.us/j/926407
3849.\n\nAbstract\n"Between two truths of the real domain\, the easiest an
d shortest path quite often passes through the complex domain."\n\n
P. Painleve\, 1900.\n\n\nAbstract: \n\n
Newton noticed that the gravitational potential of a spherical mass with c
onstant density equals\, outside the ball\, the potential of the point-ma
ss at the center. Rephrasing\, the gravitational potential of the ball wi
th constant mass density continues as a harmonic function inside the ball
except for the center. Fairly recently\, it was noted that the latter stat
ement holds for any polynomial\, or even for entire densities.\n\nIf a har
monic in a spherical shell function vanishes on one piece of a line throug
h the center piercing the shell\, then it must vanish on the second piece
of that line. Yet\, the similar statement fails for tori.\n\nIf we solve t
he Dirichlet problem in an ellipse with entire data\, the solution will al
ways be an entire harmonic function. Yet\, if we do that in a domain bound
ed by the curve x^4 + y^4 =1\, with the data as simple as x^2+y^2\, the so
lution will have infinitely many singularities outside the curve. \nWhere
and why do eigenfunctions of the Laplacian in domains bounded by algebraic
curves start having singularities?\n\nWe shall discuss these and some oth
er questions under the unified umbrella of analytic continuation of solut
ions to analytic pde in C^n.\n
LOCATION:Lecture held in https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kirsti Biggs (Chalmers U. Technology)
DTSTART;VALUE=DATE-TIME:20200526T170000Z
DTEND;VALUE=DATE-TIME:20200526T180000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/7
DESCRIPTION:Title: Ellipsephic efficient congruencing for the moment curve
\nby Kirsti Biggs (Chalmers U. Technology) as part of UCLA analysis and PD
E seminar\n\nLecture held in https://ucla.zoom.us/j/9264073849.\n\nAbstrac
t\nAn ellipsephic set is a subset of the natural numbers whose elements ha
ve digital restrictions in some fixed prime base. Such sets have a fractal
structure and can be viewed as p-adic Cantor sets. The particular ellipse
phic sets that interest us have certain additive properties - for example\
, the set of integers whose digits are squares forms a key motivating exam
ple\, because there are few representations of an integer as the sum of tw
o squares.\n\n\nWe obtain discrete restriction estimates for the moment cu
rve over ellipsephic sets—in number theoretic terms\, we bound the numbe
r of ellipsephic solutions to a Vinogradov system of equations—using Woo
ley’s nested efficient congruencing method. These results generalise pre
vious work of the speaker\, on the quadratic case of this problem\, to the
moment curve of arbitrary degree.\n
LOCATION:Lecture held in https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mihailis Kolountzakis (U. Crete)
DTSTART;VALUE=DATE-TIME:20200602T160000Z
DTEND;VALUE=DATE-TIME:20200602T165000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/8
DESCRIPTION:Title: Orthogonal Fourier analysis on domains: methods\, resul
ts and open problems\nby Mihailis Kolountzakis (U. Crete) as part of UCLA
analysis and PDE seminar\n\nLecture held in https://caltech.zoom.us/j/7472
42458.\n\nAbstract\nWe all know how to do Fourier Analysis on an interval\
, on {\\mathbb R}^d\, or other groups. But what if our functions live on a
subset of Euclidean space\, let's say on a regular hexagon in the plane?
Can we use our beloved exponentials\, functions of the form e_\\lambda(x)
= \\exp(2\\pi i \\lambda\\cdot x) to analyze the functions defined on our
domain? In other words\, can we select a set of frequencies \\lambda such
that the corresponding exponentials form an orthogonal basis for L^2 of ou
r domain? It turns out that the existence of such an orthogonal basis depe
nds heavily on the domain. So the answer is yes\, we can find an orthogona
l basis of exponentials for the hexagon\, but if we ask the same question
for a disk\, the answer turns out to be no.\n\nFuglede conjectured in the
1970s that the existence of such an exponential basis is equivalent to the
domain being able to tile space by translations (the hexagon\, that we me
ntioned\, indeed can tile\, while the disk cannot). In this talk we will t
rack this conjecture and the mathematics created by the attempts to settle
it and its variants. We will see some of its rich connections to geometry
\, number theory and harmonic analysis and some of the spectacular recent
successes in our efforts to understand exponential bases. We will emphasiz
e several problems that are still open.\n
LOCATION:Lecture held in https://caltech.zoom.us/j/747242458
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yakov Shlapentokh-Rothman (Princeton)
DTSTART;VALUE=DATE-TIME:20200602T170000Z
DTEND;VALUE=DATE-TIME:20200602T180000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/9
DESCRIPTION:Title: Naked Singularities for the Einstein Vacuum Equations:
The Exterior Solution\nby Yakov Shlapentokh-Rothman (Princeton) as part of
UCLA analysis and PDE seminar\n\nLecture held in https://caltech.zoom.us/
j/747242458.\nAbstract: TBA\n\nWe will start by recalling the weak cosmic
censorship conjecture. Then we will review Christodoulou's construction of
naked singularities for the spherically symmetric Einstein-scalar field s
ystem. Finally\, we will discuss joint work with Igor Rodnianski which con
structs spacetimes corresponding to the exterior region of a naked singula
rity for the Einstein vacuum equations.\n
LOCATION:Lecture held in https://caltech.zoom.us/j/747242458
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kevin Hughes (U. Bristol)
DTSTART;VALUE=DATE-TIME:20200519T220000Z
DTEND;VALUE=DATE-TIME:20200519T230000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/10
DESCRIPTION:Title: Discrete restriction estimates\nby Kevin Hughes (U. Bri
stol) as part of UCLA analysis and PDE seminar\n\nLecture held in https://
ucla.zoom.us/j/9264073849.\n\nAbstract\nWe will discuss Wooley's Efficient
Congruencing approach to discrete restriction estimates for translation-d
ilation invariant systems of equations. Then we will discuss recent estima
tes for the curve (X\,X^3) which lie just outside of this framework as wel
l as that of Decoupling.\n
LOCATION:Lecture held in https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stefan Steinerberger (U. Washington)
DTSTART;VALUE=DATE-TIME:20201006T220000Z
DTEND;VALUE=DATE-TIME:20201006T230000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/11
DESCRIPTION:Title: Roots of polynomials under repeated differentiation: a
nonlocal evolution equation with infinitely many conservation laws (and so
me universality phenomena)\nby Stefan Steinerberger (U. Washington) as par
t of UCLA analysis and PDE seminar\n\n\nAbstract\nSuppose you have a polyn
omial of degree $p_n$ whose $n$ real roots are roughly distributed like a
Gaussian (or some other nice distribution) and you differentiate $t\\cdot
n$ times where $0< t<1$. What's the distribution of the $(1-t)n$ roots of
that $(t\\cdot n)$-th derivative? How does it depend on $t$? We identify
a relatively simple nonlocal evolution equation (the nonlocality is given
by a Hilbert transform)\; it has two nice closed-form solutions\, a shrink
ing semicircle and a family of Marchenko-Pastur distributions (this sounds
like random matrix theory and we make some remarks in that direction). Mo
reover\, the underlying evolution satisfies an infinite number of conserva
tion laws that one can write down explicitly. This suggests a lot of quest
ions: Sean O'Rourke and I proposed an analogous equation for complex-value
d polynomials. Motivated by some numerical simulations\, Jeremy Hoskins a
nd I conjectured that $t=1$\, just before the polynomial disappears\, the
shape of the remaining roots is a semicircle and we prove that for a class
of random polynomials. I promise lots of open problems and pretty pictur
es.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bjoern Bringmann (UCLA)
DTSTART;VALUE=DATE-TIME:20201006T230000Z
DTEND;VALUE=DATE-TIME:20201007T000000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/12
DESCRIPTION:Title: Invariant Gibbs measures for the three-dimensional wave
equation with a Hartree nonlinearity\nby Bjoern Bringmann (UCLA) as part
of UCLA analysis and PDE seminar\n\n\nAbstract\nIn this talk\, we discuss
the construction and invariance of the Gibbs measure for a three-\ndimensi
onal wave equation with a Hartree-nonlinearity.\n\nIn the first part of th
e talk\, we construct the Gibbs measure and examine its properties. We dis
cuss the mutual singularity of the Gibbs measure and the so-called Gaussia
n free field. In contrast\, the Gibbs measure for one or two-dimensional w
ave equations is absolutely continuous with respect to the Gaussian free f
ield.\n\nIn the second part of the talk\, we discuss the probabilistic wel
l-posedness of the corresponding nonlinear wave equation\, which is needed
in the proof of invariance. At the moment\, this is the only theorem prov
ing the invariance of any singular Gibbs measure under a dispersive equati
on.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khang Huynh (UCLA)
DTSTART;VALUE=DATE-TIME:20201020T220000Z
DTEND;VALUE=DATE-TIME:20201020T230000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/13
DESCRIPTION:Title: A geometric trapping approach to global regularity for
2D Navier-Stokes on manifolds\nby Khang Huynh (UCLA) as part of UCLA analy
sis and PDE seminar\n\n\nAbstract\nWe use frequency decomposition techniqu
es to give a direct proof of global existence and regularity for the Navie
r-Stokes equations on two-dimensional Riemannian manifolds without boundar
y. Our techniques are inspired by an approach of Mattingly and Sinai which
was developed in the context of periodic boundary conditions on a flat ba
ckground\, and which is based on a maximum principle for Fourier coefficie
nts. The extension to general manifolds requires several new ideas\, conne
cted to the less favorable spectral localization properties in our setting
. Our arguments make use of frequency projection operators\, multilinear e
stimates that originated in the study of the non-linear Schrodinger equati
on\, and ideas from microlocal analysis.\n\nThis is joint work with Aynur
Bulut.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jaemin Park (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20201013T210000Z
DTEND;VALUE=DATE-TIME:20201013T220000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/14
DESCRIPTION:Title: Radial symmetry in stationary/uniformly-rotating soluti
ons to 2D Euler equation\nby Jaemin Park (Georgia Tech) as part of UCLA an
alysis and PDE seminar\n\n\nAbstract\nIn this talk\, I will discuss whethe
r all stationary/uniformly-rotating solutions of 2D Euler equation must be
radially symmetric\, if the vorticity is compactly supported. For a stati
onary solution that is either smooth or of patch type\, we prove that if t
he vorticity does not change sign\, it must be radially symmetric up to a
translation. It turns out that the fixed-sign condition is necessary for r
adial symmetry result: indeed\, we are able to find non-radial sign changi
ng stationary solution with compact support. We have also obtained some sh
arp criteria on symmetry for uniformly-rotating solutions for 2D Euler equ
ation and the SQG equation. The symmetry results are mainly obtained by ca
lculus of variations and elliptic equation techniques\, and the constructi
on of non-radial solution is obtained from bifurcation theory. Part of thi
s talk is based on joint work with Javier Gomez-Serrano\, Jia Shi and Yao
Yao\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Bloom (Cambridge)
DTSTART;VALUE=DATE-TIME:20201103T180000Z
DTEND;VALUE=DATE-TIME:20201103T190000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/15
DESCRIPTION:Title: Spectral structure and arithmetic progressions\nby Thom
as Bloom (Cambridge) as part of UCLA analysis and PDE seminar\n\nInteracti
ve livestream: https://caltech.zoom.us/j/99420414248\n\nAbstract\nHow much
additive structure can we guarantee in sets of integers\, knowing only th
eir density? The study of which density thresholds are sufficient to guara
ntee the existence of various kinds of additive structures is an old and f
ascinating subject with connections to analytic number theory\, additive c
ombinatorics\, and harmonic analysis.\n\nIn this talk we will discuss rece
nt progress on perhaps the most well-known of these thresholds: how large
do we need a set of integers to be to guarantee the existence of a three-t
erm arithmetic progression? In recent joint work with Olof Sisask we broke
through the logarithmic density barrier for this problem\, establishing i
n particular that if a set is dense enough such that the sum of reciprocal
s diverges\, then it must contain a three-term arithmetic progression\, es
tablishing the first case of an infamous conjecture of Erdos.\n\nWe will g
ive an introduction to this problem and sketch some of the recent ideas th
at have made this progress possible. We will pay particular attention to t
he ways we exploit 'spectral structure' - understanding combinatorially se
ts of large Fourier coefficients\, which we hope will have further applica
tions in number theory and harmonic analysis.\n
URL:https://caltech.zoom.us/j/99420414248
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yao Yao (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20201118T000000Z
DTEND;VALUE=DATE-TIME:20201118T010000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/16
DESCRIPTION:Title: Two results on the interaction energy\nby Yao Yao (Geor
gia Tech) as part of UCLA analysis and PDE seminar\n\nInteractive livestre
am: https://ucla.zoom.us/j/9264073849\n\nAbstract\nFor any nonnegative den
sity $f$ and radially decreasing interaction potential $W$\, the celebrate
d Riesz rearrangement inequality shows the interaction energy $E[f] = \\in
t f(x)f(y)W(x-y) dxdy$ satisfies $E[f] \\leq E[f^*]$\, where $f^*$ is the
radially decreasing rearrangement of $f$. It is a natural question to look
for a quantitative version of this inequality: if its two sides almost ag
ree\, how close must $f$ be to a translation of $f^*$? Previously the stab
ility estimate was only known for characteristic functions. I will discuss
a recent work with Xukai Yan\, where we found a simple proof of stability
estimates for general densities. \n\nI will also discuss another work wit
h Matias Delgadino and Xukai Yan\, where we constructed an interpolation c
urve between any two radially decreasing densities with the same mass\, an
d show that the interaction energy is convex along this interpolation. As
an application\, this leads to uniqueness of steady states in aggregation-
diffusion equations with any attractive interaction potential for diffusio
n power $m\\geq 2$\, where the threshold is sharp.\n
URL:https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jared Speck (Vanderbilt)
DTSTART;VALUE=DATE-TIME:20201020T230000Z
DTEND;VALUE=DATE-TIME:20201021T000000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/17
DESCRIPTION:Title: Stable big bang formation in general relativity: the co
mplete sub-critical regime\nby Jared Speck (Vanderbilt) as part of UCLA an
alysis and PDE seminar\n\n\nAbstract\nThe celebrated theorems of Hawking a
nd Penrose show that under appropriate assumptions on the matter model\, a
large\, open set of initial data for Einstein's equations lead to geodesi
cally incomplete solutions. However\, these theorems are "soft" in that th
ey do not yield any information\nabout the nature of the incompleteness\,
leaving open the possibilities that \n\ni) it is tied to the blowup of som
e invariant quantity (such as curvature) or \n\nii) it is due to a more si
nister phenomenon\, such as\nincompleteness due to lack of information for
how to uniquely continue the solution (this is roughly\nknown as the form
ation of a Cauchy horizon). \n\nDespite the "general ambiguity" in the mat
hematical physics literature\, there are heuristic results\, going back 50
years\, suggesting that whenever a certain "sub-criticality" condition ho
lds\, the Hawking-Penrose incompleteness is caused by the formation of a B
ig Bang singularity\, that is\, curvature blowup along an entire spacelike
hypersurface. In\nrecent joint work with I. Rodnianski and G. Fournodavlo
s\, we have given a rigorous proof of the heuristics. More precisely\, our
results apply to Sobolev-class perturbations - without symmetry - of gene
ralized Kasner solutions whose exponents satisfy the sub-criticality condi
tion. Our main\ntheorem shows that - like the generalized Kasner solutions
- the perturbed solutions develop Big Bang singularities. \n\nIn this tal
k\, I will provide an overview of our result and explain how it is tied to
some of the main themes of investigation by the mathematical general rela
tivity community\, including the remarkable work of Dafermos-Luk on the st
ability of Kerr Cauchy horizons. I will also discuss the new gauge that we
used in our work\, as well as intriguing connections to other problems co
ncerning stable singularity formation.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aleksandr Logunov (Princeton)
DTSTART;VALUE=DATE-TIME:20201215T190000Z
DTEND;VALUE=DATE-TIME:20201215T200000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/18
DESCRIPTION:by Aleksandr Logunov (Princeton) as part of UCLA analysis and
PDE seminar\n\nInteractive livestream: https://ucla.zoom.us/j/9264073849\n
Abstract: TBA\n
URL:https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cristian Gonzales-Riquelme (IMPA)
DTSTART;VALUE=DATE-TIME:20201117T230000Z
DTEND;VALUE=DATE-TIME:20201118T000000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/19
DESCRIPTION:by Cristian Gonzales-Riquelme (IMPA) as part of UCLA analysis
and PDE seminar\n\nInteractive livestream: https://ucla.zoom.us/j/92640738
49\nAbstract: TBA\n
URL:https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paata Ivanisvili (NC State)
DTSTART;VALUE=DATE-TIME:20201201T230000Z
DTEND;VALUE=DATE-TIME:20201202T000000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/20
DESCRIPTION:by Paata Ivanisvili (NC State) as part of UCLA analysis and PD
E seminar\n\nInteractive livestream: https://caltech.zoom.us/j/99420414248
\nAbstract: TBA\n
URL:https://caltech.zoom.us/j/99420414248
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Carniero (ICTP)
DTSTART;VALUE=DATE-TIME:20201215T180000Z
DTEND;VALUE=DATE-TIME:20201215T190000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/21
DESCRIPTION:by Emanuel Carniero (ICTP) as part of UCLA analysis and PDE se
minar\n\nInteractive livestream: https://ucla.zoom.us/j/9264073849\nAbstra
ct: TBA\n
URL:https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Damanik (Rice)
DTSTART;VALUE=DATE-TIME:20201202T000000Z
DTEND;VALUE=DATE-TIME:20201202T010000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/22
DESCRIPTION:by David Damanik (Rice) as part of UCLA analysis and PDE semin
ar\n\nInteractive livestream: https://caltech.zoom.us/j/99420414248\nAbstr
act: TBA\n
URL:https://caltech.zoom.us/j/99420414248
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shukun Wu (UIUC)
DTSTART;VALUE=DATE-TIME:20201027T210000Z
DTEND;VALUE=DATE-TIME:20201027T220000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/23
DESCRIPTION:Title: On the Bochner-Riesz problem in dimension 3\nby Shukun
Wu (UIUC) as part of UCLA analysis and PDE seminar\n\n\nAbstract\nWe impro
ve the Bochner-Riesz conjecture in dimension 3 to p>3.25. The main method
we used is the iterated polynomial partitioning algorithm. We also observe
some relations between wave packets at different scales.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yilin Wang (MIT)
DTSTART;VALUE=DATE-TIME:20201208T220000Z
DTEND;VALUE=DATE-TIME:20201208T230000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/24
DESCRIPTION:by Yilin Wang (MIT) as part of UCLA analysis and PDE seminar\n
\nInteractive livestream: https://ucla.zoom.us/j/9264073849\nAbstract: TBA
\n
URL:https://ucla.zoom.us/j/9264073849
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Beck (Fordham)
DTSTART;VALUE=DATE-TIME:20201103T190000Z
DTEND;VALUE=DATE-TIME:20201103T200000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/25
DESCRIPTION:Title: Two-phase free boundary problems and the Friedland-Haym
an inequality\nby Thomas Beck (Fordham) as part of UCLA analysis and PDE s
eminar\n\nInteractive livestream: https://caltech.zoom.us/j/99420414248\n\
nAbstract\nThe Friedland-Hayman inequality provides a lower bound on the f
irst Dirichlet eigenvalues of complementary subsets of the sphere. In this
talk\, we will describe a variant of this inequality to geodesically conv
ex subsets of the sphere with mixed Dirichlet-Neumann boundary conditions.
Using this inequality\, we prove an almost-monotonicity formula and Lipsc
hitz continuity up to the boundary for the minimizer of a two-phase free b
oundary problem. This is joint work with David Jerison and Sarah Raynor.\n
URL:https://caltech.zoom.us/j/99420414248
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adrian Nachman (U. Toronto)
DTSTART;VALUE=DATE-TIME:20201110T220000Z
DTEND;VALUE=DATE-TIME:20201110T230000Z
DTSTAMP;VALUE=DATE-TIME:20201031T033905Z
UID:UCLAAnalysisSeminar/26
DESCRIPTION:Title: A Nonlinear Plancherel Theorem with Applications to Glo
bal Well-posedness for the Defocusing Davey-Stewartson Equation and to the
Inverse Boundary Value Problem of Calderon\nby Adrian Nachman (U. Toronto
) as part of UCLA analysis and PDE seminar\n\nInteractive livestream: http
s://ucla.zoom.us/j/9264073849\n\nAbstract\nThis is joint work with Idan Re
gev and Daniel Tataru.\n\nThe talk will aim to present our solutions to 2+
\\epsilon open problems.\n
URL:https://ucla.zoom.us/j/9264073849
END:VEVENT
END:VCALENDAR