2020-21 CRM/MONTREAL/QUEBEC ANALYSIS ZOOM SEMINARS
Seminars are usually held on Mondays or Fridays.
In person seminars in Montreal are held at Concordia,
McGill or Universite de Montreal; in person seminars in Quebec City
are held at Laval.
To attend a zoom session, and for suggestions, questions etc. please
contact Galia Dafni (firstname.lastname@example.org), Alexandre Girouard
(email@example.com), Dmitry Jakobson
(firstname.lastname@example.org), Damir Kinzebulatov
(email@example.com) or Iosif Polterovich
After a break due to COVID-19, Montreal Analysis seminar
has resumed on zoom,
organized jointly with Laval University in Quebec City.
Please, contact one of the organizers for the seminar zoom links.
The talks are recorded and posted on the
CRM Youtube channel, on
Mathematical Analysis Lab playlist
Friday, September 11, 9:00 Eastern Time, zoom seminar
Jose Maria Martell (ICMAT)
Uniform rectifiability and elliptic operators satisfying a Carleson
In this talk I will study the correspondence between the properties of
the solutions of a class of PDEs and the geometry of sets in
Euclidean space. We
question of whether (quantitative) absolute continuity of the elliptic measure
with respect to the surface measure and uniform rectifiability of the boundary
are equivalent, in an optimal class of divergence form elliptic operators
satisfying a suitable Carleson measure condition. Our setting is that of
having an Ahlfors regular boundary and satisfying the so-called interior
Corkscrew and Harnack chain conditions (these are respectively
scale-invariant/quantitative versions of openness and path-connectivity) and we
show that for the class of Kenig-Pipher uniformly elliptic operators (operators
whose coefficients have controlled oscillation in terms of a Carleson measure
condition) the solvability of the $L^p$-Dirichlet problem with some finite $p$
is equivalent to the quantitative openness of the exterior domains or to the
uniform rectifiablity of the boundary.
Joint work with S. Hofmann, S. Mayboroda, T. Toro, and Z. Zhao.
Friday, October 16, 13:00 Eastern Time (to be confirmed),
Guangyu Xi (University of Maryland)
2020 Zoom Seminars
Fall 2013 Seminars
Winter 2014 Seminars
2005/2006 Analysis Seminar
2004/2005 Seminar in Nonlinear Analysis and Dynamical Systems
2003/2004 Working Seminar in Mathematical Physics