Seminars are usually held on Friday afternoon.
The seminar is currently held in hybrid mode, organized jointly with Laval University in Quebec City. In person seminars in Montreal are held at Concordia, McGill or the CRM/Université de Montréal; in person seminars in Quebec City are held at Laval.
To be added to the mailing list, attend a zoom session, and for suggestions, questions etc. please contact one of the organizers.
Some of the talks are recorded and posted on the CRM Youtube channel, on the Mathematical Analysis Lab playlist.
Friday, October 24, 2pm, hybrid seminar at Concordia, Library Building, room 921-4
Timo Takala (Aalto)
An introduction to John-Nirenberg spaces and recent results featuring vanishing subspaces and maximal functions
The space of functions of bounded mean oscillation BMO was first defined by John and Nirenberg in 1961, and it is an essential function space in harmonic analysis. The John-Nirenberg space JNp was first defined in the same paper and it is also related to oscillations, but it has not been studied as much as BMO. In this talk I will first present the definition and some of
the basic properties of JNp functions.
The spaces VMO and CMO are well-known vanishing subspaces of BMO. Corresponding vanishing subspaces of JNp have been defined and studied recently and some characterizations for those vanishing subspaces have been developed. Another active line of research involves studying the regularity of (fractional) maximal functions of various types of functions. In the talk I will present some recent results about JNp functions, the vanishing subspaces of JNp, and the (fractional) maximal functions of BMO, VMO and JNp functions.
Thursday, November 27, 3pm, joint with Geometric Analysis Seminar, McGill, Burnside Hall room 1205
Joshua Flynn (MIT)
TBA
Friday, November 28, time TBA, hybrid seminar at CRM, room TBA
Yair Shenfeld (Brown)
TBA
Friday, September 19, 1:30 pm, hybrid seminar at McGill, Burside Hall, room 1104
Marta Lewicka (Pittsburgh)
Tug-of-War games for nonlinear PDEs
The lecture will present an overview of the probabilistic interpretation of the nonlinear potential theory, relying on the notion of tug-of-war games with noise, and the asymptotic expansions of averages. We will explore constructions pertaining to the p-laplacian, the non-local setting, and the various boundary conditions.
Friday, October 10, 1pm *Note earlier time*, hybrid seminar at UdeM, Pavillon André-Aisenstadt, room 5183
Lukas Bundrock (Alabama)
Behavior of Absorbing and Generating p-Robin Eigenvalues in Bounded and Exterior Domains
The spectrum of the Laplace operator with Robin boundary conditions has been studied extensively, with deep connections to physical models including heat flow, fluid dynamics, and wave propagation. Its nonlinear counterpart, the p-Laplacian, also plays a central role in modeling complex media, particularly non-Newtonian fluids.
In this talk, we investigate the principal eigenvalue of the p-Laplacian under Robin boundary conditions, with a focus on its asymptotic behavior depending on the boundary parameter. For bounded domains, we establish quantitative inequalities valid for all p, which in particular improve known results in the classical case (p=2). In the setting of exterior domains, we address questions of existence, derive general bounds for the first eigenvalue of the complement of a ball, and prove sharp geometric inequalities for the complement of convex domains in two dimensions.
Galia Dafni (Concordia)
Dmitry Faifman (Université de Montréal)
Dmitry Jakobson (McGill)
Damir Kinzebulatov (Laval)
Maria Ntekoume (Concordia)