BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Franziska Weber (Carnegie Mellon University) DTSTART:20200421T144500Z DTEND:20200421T154500Z DTSTAMP:20260422T212558Z UID:OSAnaProb/1 DESCRIPTION:Title: Sufficient conditions for flux scaling laws in the stochastic Navier-Sto kes equations\nby Franziska Weber (Carnegie Mellon University) as part of Leipzig Oberseminar Analysis - Probability\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/OSAnaProb/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Alessia Nota (Universität Bonn) DTSTART:20200505T144500Z DTEND:20200505T154500Z DTSTAMP:20260422T212558Z UID:OSAnaProb/2 DESCRIPTION:Title: Long-time asymptotics for homoenergetic solutions of the Boltzmann equat ion\nby Alessia Nota (Universität Bonn) as part of Leipzig Obersemina r Analysis - Probability\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/OSAnaProb/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Richard Bamler (University of California\, Berkeley) DTSTART:20200602T144500Z DTEND:20200602T154500Z DTSTAMP:20260422T212558Z UID:OSAnaProb/3 DESCRIPTION:Title: Uniqueness of Weak Solutions to the Ricci Flow and Topological Applicati ons\nby Richard Bamler (University of California\, Berkeley) as part o f Leipzig Oberseminar Analysis - Probability\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/OSAnaProb/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Aleksandr Logunov (Princeton University) DTSTART:20200609T131500Z DTEND:20200609T141500Z DTSTAMP:20260422T212558Z UID:OSAnaProb/4 DESCRIPTION:Title: Nodal sets\, quasiconformal mappings and how to apply them to Landis’ conjecture\nby Aleksandr Logunov (Princeton University) as part of Lei pzig Oberseminar Analysis - Probability\n\n\nAbstract\nA while ago Nadiras hvili proposed a beautiful idea how to attack problems on zero sets of Lap lace eigenfunctions using quasiconformal mappings\, aiming to estimate the length of nodal sets (zero sets of eigenfunctions) on closed two-dimensio nal surfaces. The idea have not yet worked out as it was planned.\n\nHowev er it appears to be useful for Landis' Conjecture. We will explain how to apply the combination of quasiconformal mappings and zero sets to quantita tive properties of solutions to $\\Delta u + V u =0$ on the plane\, where $V$ is a real\, bounded function. The method reduces some questions about solutions to Shrodinger equation $\\Delta u + V u =0$ on the plane to ques tions about harmonic functions.\n\nBased on a joint work with E.Malinnikov a\, N.Nadirashvili and F. Nazarov.\n LOCATION:https://researchseminars.org/talk/OSAnaProb/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Joaquim Serra (ETH Zürich) DTSTART:20200616T131500Z DTEND:20200616T141500Z DTSTAMP:20260422T212558Z UID:OSAnaProb/5 DESCRIPTION:Title: The singular set in the obstacle problem\nby Joaquim Serra (ETH Zür ich) as part of Leipzig Oberseminar Analysis - Probability\n\n\nAbstract\n The obstacle problem arises in several important physical models. We will present some recent work in collaboration with A. Figalli and X. Ros-Oton on the structure of the singular set for this problem.\n\nWe will start in troducing some rather recent tools for the analysis of singularities in th e obstacle problem\, which are complementary to the classical theory of Ca ffarelli. These tools exploit a useful connection between singularities of the obstacle problem and solutions of the so-called thin obstacle problem .\n\nWith careful enough analysis\, we are able to achieve a precise under standing of the behavior of solutions near "generic" singularities.\n\nIn particular we prove that the free boundary is generically smooth in dimens ions 3 and 4\, while in higher dimensions the singular set has\, generical ly\, co-dimension 3 inside the free boundary.\n LOCATION:https://researchseminars.org/talk/OSAnaProb/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Peter Pickl (LMU Munich) DTSTART:20200623T131500Z DTEND:20200623T141500Z DTSTAMP:20260422T212558Z UID:OSAnaProb/6 DESCRIPTION:Title: Quasiparticles - wholes in the Fermi sea\nby Peter Pickl (LMU Munich ) as part of Leipzig Oberseminar Analysis - Probability\n\n\nAbstract\nIma gine a particle flying through a dense gas\, interacting with the particle s of that gas. Due to the interaction the particle will experience dissipa tion and fluctuation. Both effects will typically increase as the density goes to infinity.\n\nWhile this is true for a classical gas and also for B ose gases\, the behaviour is very different for gases of Fermions: A charg ed particle moving through a Fermi sea of high density behaves almost like a free particle.\n\nHere the Fermi pressure leads to a suppression of the fluctuations in the gas and eventually a suppression of fluctuation and d issipation.\n\nWhile this is easy to prove in one dimension\, the two dime nsional case is highly non trivial. I will present recent results on this question.\n LOCATION:https://researchseminars.org/talk/OSAnaProb/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Sebastian Schwarzacher (Charles University Prague) DTSTART:20200714T131500Z DTEND:20200714T141500Z DTSTAMP:20260422T212558Z UID:OSAnaProb/7 DESCRIPTION:Title: Higher integrability estimates for parabolic PDEs with fast or slow diff usion\nby Sebastian Schwarzacher (Charles University Prague) as part o f Leipzig Oberseminar Analysis - Probability\n\n\nAbstract\nIn the talk we discuss some recent results on self-improving properties for gradients of solutions for parabolic evolutions with fast or slow diffusion. The model case is the porous medium equation. We show how local higher integrabilit y estimates can be derived via the celebrated Gehring lemma. The estimates rely on a Calderon Zygmund theory that is developed with respect to an in trinsic metric that depends on the solution\; taking into account the loca l speed of the diffusion. The concept turns out to be flexible enough to s how self-improving properties for large classes of diffusions depending on the solution and the gradient.\n LOCATION:https://researchseminars.org/talk/OSAnaProb/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Radu Ignat (Université Paul Sabatier & IUF Toulouse) DTSTART:20200721T131500Z DTEND:20200721T141500Z DTSTAMP:20260422T212558Z UID:OSAnaProb/8 DESCRIPTION:Title: Minimality of degree-one Ginzburg-Landau vortex in the unit ball\nby Radu Ignat (Université Paul Sabatier & IUF Toulouse) as part of Leipzig Oberseminar Analysis - Probability\n\n\nAbstract\nIn this talk\, we will f ocus on the standard Ginzburg-Landau functional for N-dimensional maps def ined in the unit ball that are equal to the identity on the boundary. A sp ecial critical point is the so-called degree-one vortex map given by the i dentity map multiplied with a scalar radial profile. We will prove the min imality of this solution and also discuss about the uniqueness result. Thi s is a joint work with L. Nguyen\, V. Slastikov and A. Zarnescu.\n LOCATION:https://researchseminars.org/talk/OSAnaProb/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Charles K. Smart (The University of Chicago) DTSTART:20200728T131500Z DTEND:20200728T141500Z DTSTAMP:20260422T212558Z UID:OSAnaProb/9 DESCRIPTION:Title: Localization and unique continuation on the integer lattice\nby Char les K. Smart (The University of Chicago) as part of Leipzig Oberseminar An alysis - Probability\n\n\nAbstract\nI will discuss recent results on local ization for the Anderson--Bernoulli model. This will include my work with Ding as well as work by Li--Zhang. Both develop new unique continuation re sults for the Laplacian on the integer lattice.\n LOCATION:https://researchseminars.org/talk/OSAnaProb/9/ END:VEVENT END:VCALENDAR