BEGIN:VCALENDAR VERSION:2.0 PRODID:-//CERN//INDICO//EN BEGIN:VEVENT SUMMARY:Geometric and Mathematical Analysis\, and Weak Geometric Structure s DTSTART;VALUE=DATE-TIME:20210323T060000Z DTEND;VALUE=DATE-TIME:20211223T150000Z DTSTAMP;VALUE=DATE-TIME:20260713T192048Z UID:indico-event-278@indico.eimi.ru DESCRIPTION:Thematic program "Geometric and Mathematical Analysis\, and We ak Geometric Structures"\n\nMarch 23 – December 23\, 2021\n\nThis themat ic program will be focused upon two directions of current mathematical res earch that encompass several interconnected areas related to geometric mea sure theory (GMT) and function spaces theory:\n\n\n Shape optimization pro blems and geometric analysis: minimal surfaces (with respect to various no tions of surface area/perimeter including nonlocal ones) and related probl ems\, clusters of soap bubbles\, problems with prescribed curvature\, the Steiner problem and transportation networks\, as well as applications of s hape optimization in image analysis (e.g. Mumford-Shah problem and similar ) and mechanics (e.g. eigenvalue or compliance optimization or ground stat es of Schrödinger equation).\n Weak geometric structures related to GMT\, such as currents\, as well as those arising in optimal mass transportatio n and the study of geometry of highly irregular metric measure spaces\, in particular those without any differentiable structure\, with applications to the analysis of PDEs with very low regularity (e.g. weak and/or or pro babilistic notions of flows\, or “differential equations” with “pure ly nondifferentiable”\, for instance just Hölder continuous unknowns\, like those in Rough paths theory) and to some modern harmonic analysis pro blems.\n Purely geometric problems involving weak geometric structures\, l ike extensions of Frobenius theorem either to irregular differential forms or distributions of planes or to weaker notions of surfaces like De Rham currents\; extensions of Chow-Rachevsky theorem to irregular vector fields or flows\; applications to sub-Riemannian geometry\, geometric control th eory and dynamical systems.\n Function spaces\, especially Banach and Hilb ert spaces of holomorphic and/or harmonic functions on the unit disc and p olydisc: problems related to the geometry of such spaces and their invaria nt subspaces (e.g. cyclicity and hypercyclicity\, shift operators)\, fine boundary behavior of their elements (e.g. harmonic measure and  integral spectra estimates)\, related discrete models on trees and products of tree s\, time-frequency analysis and Gabor systems.\n Problems of potential-the oretic nature\, such as condensers\, their capacities and their asymptotic al behavior\; fine properties of Cantor-type sets on the plane e.g. Buffon needle with connections to combinatorics and Fourier analysis\, Bessel ca pacity estimates for self-similar sets\; properties of potentials on direc ted graphs\; interpolation and sampling in function spaces on the unit dis c\; approximation problems in several complex variables.\n\n\nThe idea is to explore the deep connections between the above mentioned areas of resea rch and to make them more comprehensible and attractive to both internatio nal and local mathematical community.\n\n\nMinicourses\n\nIf you plan to a ttend minicourses please register here.\n\n\n "Geometric flows of networks " by Matteo Novaga (Università di Pisa) and Alessandra Pluda (Università di Pisa)\, March 23 – April 1\, 2021\n "Loops and Bubbles" by Robe rta Musina (Università di Udine)\, April 13 – April 21\, 2021\n "Gabor analysis for rational functions" by Yurii S. Belov (St. Petersburg State University)\, April 14 – May 26\, 2021\n "One-dimensional optimization p roblems" by Emanuele Paolini (Università di Pisa)\, May 11 – May 19\, 2021\n "Makarov’s law of the iterated logarithm and integral means spect rum" by Ilgiz R. Kayumov (Kazan Federal University)\, June 25 -- July 07\, 2021 (in Russian)\n "Several Complex Variables: Outline" by Norm Levenber g (Indiana University Bloomington)\, September 28 -- October 28\, 2021\n " Condenser capacities: asymptotic formulas and geometric transforms" by V.N . Dubinin (IAM\, Far East branch of the Russian Academy of Sciences)\, Oct ober 20 -- October 29\, 2021 (in Russian)\n "Interpolation in Reproducing Kernel Hilbert Spaces" by Nikolaos Chalmoukis (Università di Bologna)\, N ovember 17 -- November 26\, 2021\n "Mean values of Riemann zeta function" by Winston Heap (Shandong University)\, November 17 -- November 19\, 2021\ n "The Hardy space in engineering" by Nicola Arcozzi (Università di Bolog na)\, November 23 -- November 25\, 2021\n "Geometry of the unit ball in va rious holomorphic spaces" by Konstantin Dyakonov (ICREA and Universitat de Barcelona)\, November 25 -- December 2\, 2021\n "Large index subspaces in Banach spaces of analytic functions" by Alexander Borichev (Université A ix-Marseille)\, December 15 -- December 18\, 2021\n\n\n\nConferences and s chools\n\n\n \n Conference "30th St.Petersburg Summer Meeting in Mathemati cal Analysis"\, July 1 – 6\, 2021\n \n \n School "Complex analysis\, Com binatorics and Operator theory"\, November 29 -- December 3\, 2021\n \n\n\ n\nOrganizers\n\n\n Roberta Musina\, Università di Udine\n Matteo Novaga\ , Università di Pisa\n Eugene Stepanov\, PDMI RAS\n Alexander Borichev\, Université Aix-Marseille\n Dario Trevisan\, Università di Pisa\n Pavel M ozolyako\, Saint-Petersburg University\n\n\n\nInstitutions participating i n the organization of the event\n\n\n Leonhard Euler International Mathema tical Institute in Saint Petersburg\n Saint-Petersburg State University\n St. Petersburg Department of Steklov Mathematical Institute of Russian Aca demy of Sciences\n\n\nThe program is supported by a grant from the Governm ent of the Russian Federation\, agreements 075-15-2019-1619 and 075-15-20 19-1620\, and by a grant from Simons Foundation.\n\nhttps://indico.eimi.ru /event/278/ LOCATION:Zoom 443 726 1792 URL:https://indico.eimi.ru/event/278/ END:VEVENT END:VCALENDAR