## Montreal Analysis Seminar

Seminars are usually held on Mondays or Fridays at Concordia,
McGill or Universite de Montreal

For suggestions, questions etc. please contact Dmitry Jakobson
(jakobson@math.mcgill.ca), Iosif Polterovich
(iossif@dms.umontreal.ca) or
Alina Stancu (alina.stancu@concordia.ca)

## FALL 2017

** Joint Analysis + Geometric Analysis seminar**

** Friday, November 10, 13:30-14:30, McGill, Room 920**

** Dan Pollack** (U. Washington)

Title TBA

** Friday, November 3, 13:30-14:30, McGill, Room 920**

** Niko Laaksonen** (McGill)

Title TBA

** Monday, October 16, 13:30-14:30, McGill, Room 920
(to be confirmed)**

** Frederic Naud** (Avignon)

Title TBA

** Spectral Theory seminar**

** Monday, September 25, 14:00-15:00, UdeM, Room 5340/5380**

** Lise Turner** (McGill)

Distribution of coefficients of rank polynomials for
random sparse graphs

** Abstract:**
We study the distribution of coefficients of rank polynomials of
random sparse graphs. We first discuss the limiting distribution for
general graph sequences that converge in the sense of Benjamini-Schramm.
Then we compute the limiting distribution and Newton polygons of the
coefficients of the rank polynomial of random d-regular graphs.
This is joint work with S. Norin and D. Jakobson

** Monday, September 18, 13:00-14:00, McGill, Burnside 920**

** Alexander Olevskii** (Tel Aviv University)

Around uncertainty principle

** Abstract:**
How "small" the support and the spectrum of a function
in R^d can be?
I'll present an introduction to the subject and discuss new results
joint with Fedor Nazarov and with my student T.Amit.

** Monday, September 18, 14:00-15:00, Burnside 920**

** Alex Iosevich** (Rochester University)

Finite point configuration in continuous, discrete and
arithmetic settings

** Abstract:**
The basic question we ask is, how "large" does a subset of a vector space
need to be to ensure that it contains a given geometric configurations, or
a positive proportion of congruence classes of a given geometric
configuration? This problem is connected with many interesting questions
in analysis, number theory and combinatorics, including the sum-product
phenomenon, the local smoothing conjecture for the wave equation and
various notions of rigidity in classical geometry. We will survey some
recent results in a variety of settings and describe the ideas behind them.

** Friday, September 15, 13:30-14:30, McGill, Burnside 920**

** Eli Liflyand** (Bar Ilan University)

Asymptotic relations for the Fourier transform of a function of bounded
variation

** Abstract:**
Earlier and recent one-dimensional estimates and asymptotic relations for the
cosine and sine Fourier transform of a function of bounded variation
are refined
in such a way that become applicable for obtaining multidimensional asymptotic
relations for the Fourier transform of a function with bounded Hardy variation.

** Monday, August 28, Univ. de Montreal,
13:30-14:30, Room 5183**

** Alexei Penskoi** (Moscow State University
and Higher School of Economics)

An isoperimetric inequality for Laplace eigenvalues on the sphere and
the projective plane

** Abstract:**
The ﬁrst subject of this talk is an isoperimetric inequality for the
second non-zero eigenvalue of the Laplace-Beltrami operator on the real
projective plane (based on a joint paper with N. Nadirashvili). For a metric
of area 1
this eigenvalue is not greater than 20\pi. This value could be attained as a
limit on a sequence of metrics of area 1 on the projective plane converging to
a singular metric on the projective plane and the sphere with standard metrics
touching in a point such that the ratio of the areas of the projective plane
and the sphere is 3:2. The second subject of this talk is a very recent
result (joint paper with M. Karpukhin, N. Nadirashvili and I. Polterovich)
about
an isoperimetric inequality for Laplace eigenvalues on the sphere. For a
metric
of area 1 the k-th eigenvalue is not greater than 8\pi k. This value could
be attained as a limit on a sequence of metrics of area 1 on the sphere
converging to a singular metric on k spheres with standard metrics of equal
radius touching in a point.

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