Online Hausdorff School: “Trending Tools”

Hausdorff School on: Trending Tools for the Solvability of Nonlocal Elliptic and Parabolic Equations

Dates: June 28 - July 2, 2021

Venue:  All lectures will be held online

Organizers: Begoña Barrios Barrera (Universidad de La Laguna, Spain), María Medina de la Torre (Universidad Autónoma de Madrid, Spain)

Trending tools for the solvability of nonlocal elliptic and parabolic equations  is framed into the field of Partial Differential Equations (PDE´s), in particular in the analysis of of elliptic and parabolic equatations. This theory has experimented great advances in the last decades, not only due to the increasing number of applications in other areas of mathematics and applied sciences (like physics or economics), but also because of the recent and continuous development of powerful analytic tools what have opened new lines of research.

This summer school aim is to focus on some of these trending lines, covering three different ones: Conformal geometry tools, concentration methods and free boundary problems

 
Key Speakers: The following speakers will give a lecture series:

  •  Francesca Da Lio (ETH Zürich, Switzerland)
  •  Monica Musso (University of Bath, UK)
  •  Xavier Ros-Oton, (Universität Zürich, Switzerland)

Additional Speakers:

  • Eleonora Cinti (Università di Bologna, Italy)
  • Benedetta Noris (Politecnico di Milano, Italy)
  • Pablo Ochoa (Universidad de Cuyo, Argentina)
  • Leandro del Pezzo (Universidad de Buenos Aires, Argentina)
  • Rémy Rodiac (Université Paris-Saclay, France)
  • Diana Stan (Universidad de Cantabria, Spain)

If you are interested in attending the Hausdorff School, please click here for online registration.

Click here for the abstracts.

Click here for the schedule.

Click here for our group foto.


In case of questions, please contact the organizers at trendingtools@hcm.uni-bonn.de

Video recordings and slides

Monica Musso: Blow-up solution for the energy-critical heat equation

Lecture I

Lecture II

Lecture III

Lecture IV

Francesca Da Lio: Analysis of nonlocal conformal invariant variational problems

Lecture I

Lecture II

Lecture III

Lecture IV

Xavier Ros-Oton: Regularity of free boundaries in obstacle problems

Lecture I

Lecture II

Lecture III

Lecture IV

Diana Stan: The fast p-Laplacian evolution equation. Global Harnack principle and fine asymptotic

behavior

Lecture I

Leandro Del Pezzo: Fractional convexity

Pablo Ochoa: Capacity-based conditions for existence of solutions to fractional elliptic problems with first-order terms

Eleonara Cinti: Quantitative stability estimates for fractional inequalities

Remy Rodiac: Interacting helical travelling waves for the Gross-Pitaevskii

Benedetta Noris: A supercritical elliptic equation in the annulus