Department of Mathematics

Search

Analysis seminar

×

Modal title

Modal content

For Zoom URL please contact Laura Keller

Autumn Semester 2022

Date / Time Speaker Title Location
15 November 2022
14:00-15:00 		Prof. Dr. Emanuel Carneiro
ICTP
Event Details

Analysis Seminar

Title Hilbert spaces and low-lying zeros of L-functions
Speaker, Affiliation Prof. Dr. Emanuel Carneiro, ICTP
Date, Time 15 November 2022, 14:00-15:00
Location HG G 43
Abstract This will be an analysis talk with motivation coming from number theory. I would like to present some ideas behind a general Hilbert space framework for solving certain Fourier optimization problems that arise when studying the distribution of the low-lying zeros of families of $L$-functions. For instance, in connection to previous work of Iwaniec, Luo, and Sarnak (2000), we will discuss how to use information from one-level density theorems to estimate the proportion of non-vanishing of $L$-functions in a family at a low-lying height on the critical line. We will also discuss the problem of estimating the height of the first low-lying zero in a family, considered by Hughes and Rudnick (2003) and Bernard (2015). This is based on joint work with M. Milinovich and A. Chirre.
Hilbert spaces and low-lying zeros of L-functionsread_more
HG G 43
15 November 2022
15:15-16:15 		Dr. Marco Guaraco
Imperial College London
Event Details

Analysis Seminar

Title Solving Plateau’s problem via semilinear elliptic equations: boundary behavior
Speaker, Affiliation Dr. Marco Guaraco, Imperial College London
Date, Time 15 November 2022, 15:15-16:15
Location HG G 43
Abstract Plateau’s problem is a central problem in Geometric Analysis and PDEs. Given an arbitrary closed curve in R^3, it asks for the existence of an area minimizing embedded surface with boundary equal to the given curve. In 1960, Federer and Fleming conceived the theory of currents as a framework for solving this problem. A different approach was proposed in 1990 by Fröhlich and Struwe, through the study of level sets of semilinar elliptic equations. They showed the existence of a minimal surface which was smooth away from the curve. I will talk about joint work with Stephen Lynch, in which we show that the surface is also smooth up to the boundary, thus completing a new solution to Plateau’s problem.
Solving Plateau’s problem via semilinear elliptic equations: boundary behaviorread_more
HG G 43
22 November 2022
15:15-16:15 		Prof. Dr. Georgios Moschidis
EPFL
Event Details

Analysis Seminar

Title Weak turbulence for the Einstein--scalar field system
Speaker, Affiliation Prof. Dr. Georgios Moschidis, EPFL
Date, Time 22 November 2022, 15:15-16:15
Location HG G 43
Abstract In the presence of confinement, the Einstein field equations are expected to exhibit turbulent dynamics. One way to introduce confinement to the equations is by imposing a negative value for the cosmological constant. In this setting, the AdS instability conjecture claims the existence of arbitrarily small perturbations to the initial data of Anti-de Sitter spacetime which, under evolution by the vacuum Einstein equations with reflecting boundary conditions at conformal infinity, lead to the formation of black holes after sufficiently long time. In this talk, I will present a rigorous proof of the AdS instability conjecture in the setting of the spherically symmetric Einstein-scalar field system. The construction of the unstable initial data will require carefully designing a family of initial configurations of localized matter beams and estimating the exchange of energy taking place between interacting beams over long periods of time, as well as estimating the decoherence rate of those beams. I will also briefly discuss some other problems related to turbulent phenomena in the asymptotically AdS setting.
Weak turbulence for the Einstein--scalar field systemread_more
HG G 43
29 November 2022
15:15-16:15 		Filippo Gaia
ETH Zürich
Event Details

Analysis Seminar

Title Weak and strong closure of the space of vector fields with integer valued fluxes
Speaker, Affiliation Filippo Gaia , ETH Zürich
Date, Time 29 November 2022, 15:15-16:15
Location HG G 43
Abstract We will introduce the space of Vector Fields with Integer Valued Fluxes (VFIVF) and discuss some of its analytical properties. In particular we will address the weak and strong closure of this space in L^p and the relationship of VFIVFs with integer rectifiable 1-currents. We will also see how VFIVFs arise naturally in some problems in the Calculus of Variations. This is based on a joint work with Riccardo Caniato.
Weak and strong closure of the space of vector fields with integer valued fluxes read_more
HG G 43
6 December 2022
15:15-16:15 		Prof. Dr. Ali Hyder
TIFR CAM Bangalore, India
Event Details

Analysis Seminar

Title Blow-up analysis and partial regularity results for Liouville type equations
Speaker, Affiliation Prof. Dr. Ali Hyder, TIFR CAM Bangalore, India
Date, Time 6 December 2022, 15:15-16:15
Location HG G 43
Abstract Due to the presence of the exponential nonlinearity the Liouville equation in dimension three and higher is supercritical. In particular it admits several singular solutions. We will talk about asymptotic behaviour of a family of stationary solutions and how to use it to obtain partial regularity results
Blow-up analysis and partial regularity results for Liouville type equationsread_more
HG G 43
20 December 2022
15:15-16:15 		Prof. Dr. Annamaria Montanari
University of Bologna
Event Details

Analysis Seminar

Title Fine properties of monotone mappings arising in optimal transport for non quadratic costs
Speaker, Affiliation Prof. Dr. Annamaria Montanari, University of Bologna
Date, Time 20 December 2022, 15:15-16:15
Location HG G 43
Assets Montanari Abstractfile_download
Fine properties of monotone mappings arising in optimal transport for non quadratic costsread_more
HG G 43

Note: if you want you can subscribe to the iCal/ics Calender.

Archive: SS 24 AS 23 SS 23 AS 22 SS 22 AS 21 SS 21 AS 20 SS 20 AS 19 SS 19 AS 18 SS 18 AS 17 SS 17 AS 16 SS 16 AS 15 SS 15 AS 14 SS 14 AS 13 SS 13 AS 12 SS 12 AS 11 SS 11 AS 10 SS 10 AS 09

JavaScript has been disabled in your browser