International Doctoral Summer School in Conformal Geometry and Non-local Operators

Event Details

Start: 19 June 2023
Categories: Conference, Course, Instituto de Matemáticas UGR

INFO

We are announcing a program in geometric analysis, which will take place over the last two weeks of June 2023 (from 19th to 30th). It will be held at the Institute of Mathematics of the University of Granada (IMAG), downtown Granada. This International Doctoral Summer School is associated and partially funded by the Doctorate School in Sciences, Technologies and Engineering of the University of Granada.

ONLINE ATTENDANCE

The talks of this Doc-Course will be broadcast via Google Meet and they can be followed at meet.google.com/zop-oeov-dve

PROGRAM

The program consists of the following two parts:

First week:

Summer School consisting of the following 4 mini-courses and 3 talks aimed at PhD students and young postdocs:

Mini-courses:

Sun-Yung Alice Chang (Princeton University): Fractional GJMS operators and applications
Xavier Cabré (ICREA and Universitat Politècnica de Catalunya): On the nonlocal mean curvature (lecture notes)
Moritz Kassmann (Universität Bielefeld): Exterior value problems and regularity for nonlocal operators
Rafe Mazzeo (Stanford University): Toward a geometric theory of fractional Laplacians

Talks:

L. Battaglia (Roma Tre): Prescribing almost constant curvatures on the half-plane
J.C Fernández-Morelos (UNAM): Optimal Partitions and prescribed Q-curvature equations
Samuel Pérez-Ayala (Princeton): TBA

The videos of these talks can be found on our YouTube channel: https://www.youtube.com/watch?v=PsfEwLWdex0&list=PL3Qr8EnGl1O-uWV8lwG2yjGWLI-v14RTY&pp=iAQB

Schedule for the first week:

Second week:

Specialized research conference, with the following speakers:

V. Agostiniani (U. di Trento): A PDE proof of the Riemannian Penrose inequality (Abstract)
R. Bettiol (CUNYl): Bifurcating minimal surfaces in ellipsoids of revolution
E. Cabezas Rivas (U. de Valencia): Characterization of the subdifferential and minimizers for the anisotropic p-capacity
J. Case (Penn State U.): A Gauss-Bonnet formula for renormalized areas (Abstract)
E. Cinti (U. di Bologna): Optimal regularity for isoperimetric sets with density (Abstract)
F. Colasuonno (U di Bologna): Critical double phase problems (Abstract)
J. Espinar (U. de Granada): Min-Oo conjecture for fully nonlinear conformally invariant equations (Abstract)
P. Esposito (Roma Tre U.): Exponential PDEs in high dimensions (Abstract)
R. Graham (U. of Washington): Extrinsic GJMS Operators for Submanifolds (Abstract)
M. Grossi (La Sapienza, U. di Roma): The number of critical points of the Robin function in domains with a small hole (Abstract)
R. Gover (U. Auckland): Some linear and non-linear (conformal) Dirichlet-Neumann maps ( Abstract)
M. Gursky (Notre Dame U.): The ASD deformation complex and a conjecture of Singer (Abstract)
I. Ianni (La Sapienza, U. di Roma): Uniqueness results for local and non-local Dirichlet problems (Abstract)
E. Kuwert (Freiburg U.): Curvature varifolds with free boundary
Y.-J. Lin (Wichita State U.): Conformally covariant polydifferential operators associated with CVIs and its applications (Abstract)
A. Maalaoui (Clark U.): Compactness of Dirac-Einstein Structures in Dimensions 3 and 4 (Abstract)
F. de Marchis (La Sapienza, U. di Roma): On critical points of the Moser-Trudinger functional (Abstract)
V. Martino (U. Bologna): On the conformal Dirac-Einstein equations (Abstract)
S. McKeown (U. of Texas at Dallas): A fourth-order Escobar-Yamabe problem on a half-ball (Abstract)
A. Pistoia (La Sapienza, U. di Roma): Conformal metrics with prescribed curvatures(Abstract)
J. Qing (U. de California Santa Cruz): \(p\)-Laplace equations, \(p\)-superharmonic functions, and their applications in conformal geometry (Abstract)
J. Ratzkin (Würzburg U.): Compactness of singular constant \(Q\)-curvature metric on punctured spheres (Abstract)
D. Ruiz (U. Granada): Steady solutions for the 2D Euler equations and overdetermined elliptic problems ( Abstract)
B. Sharp (Leeds U.): Degree-one \(\alpha\)-harmonic maps with low energy
S. Terracini (U. Torino): Boundary Harnack principles and degenerate equations on singular sets (Abstract)
G. Wang (U. Freiburg): Geometric inequalities for capillary hypersurfaces (Abstract)
P. Yang (Princeton U.): Variation of the Einstein-Hilbert action for pseudohermitian manifolds
Y. Wang (Johns Hopkins): Yamabe flow of asymptotically flat metrics (Abstract)
J. Wei (U. British Columbia): Optimal Beckner Inequality for Axially Symmetric Functions on \(S^4\) and \(S^6\) (Abstract)

* Special talk by Susanna Terracini (U. di Torino) to explain the role of the EWM in the Mathematics community.

Schedule for the second week:

PARTICIPANTS

(both weeks)

Virginia Agostiniani (Università degli Studi di Trento)
Aubrey Sophie Aiken (University of California, Santa Cruz)
Antonio Alarcón (Universidad de Granada)
Joao Henrique Andrade (University of British Columbia)
Pêdra Andrade (Instituto Superior Técnico- University of Lisbon)
Luigi Appolloni (University of Leeds)
Francesco Balducci (Università di Roma "La Sapienza")
Itahisa Barrios Cubas (Universidad Autónoma de Madrid)
Luca Battaglia (Università degli Studi Roma Tre)
Chiara Bernardini (Università di Padova)
Renato Bettiol (CUNY)
Francesca Bianchi (University of Ferrara)
Juan Pablo Cabeza (Universidad de Chile)
Esther Cabezas-Rivas (Universitat de València)
Xavier Cabré (ICREA and UPC, Barcelona)
Jeffrey Case (Penn State University)
Sun-Yung Alice Chang (Princeton University)
Xuezhang Chen (Nanjing University)
Eleonora Cinti (Università di Bologna)
Francesca Colasuonno (Università di Bologna)
Sergio Cruz Blázquez (Universidad de Granada)
Davide Dameno (Università degli Studi di Milano)
Azahara De la Torre (Sapienza Università di Roma)
Francesca De Marchis (Sapienza Università di Roma
Luca Di Beo (University of Udine)
Gianmichele Di Matteo (Karlsruher Institut für Technologie KIT)
José Espinar (Universidad de Cádiz)
Pierpaolo Esposito (Università degli Studi Roma Tre)
Juan Carlos Fernández (Universidad Nacional Autónoma de México)
Benjy Firester (Harvard)
Carlos Fuertes Morán (Universidad Autónoma de Madrid)
Alba Dolores García Ruiz (ICMAT-UAM) (email)
Marco Gipo Ghimenti (University of Pisa)
Gianmarco Giovannardi (University of Florence)
María del Mar González (Universidad Autónoma de Madrid)
Irene Gonzálvez Martínez (Universidad Autónoma de Madrid)
Rod Gover (University of Auckland)
Robin Graham (University of Washington)
Massimo Grossi (Università di Roma Sapienza)
Florian Grube (Bielefeld University)
Yaoting Gui (Beijing institute center for mathematical research)
Matthew Gursky (University of Notre Dame)
Thorben Hensiek (Bielefeld University)
Jorge Hidalgo (Universidad de Granada) (email)
Isabella Ianni (La Sapienza Università di Roma)
Peio Ibarrondo (Universidad Autónoma de Madrid)
Mikel Ispizua (Universidad Autónoma de Madrid)
Moritz Kassmann (Bielefeld University)
Ayush Khaitan (Penn State University)
Michał Kijaczko (Wrocław University of Science and Technology)
Seongtag Kim (Inha University)
Tzu-Mo Kuo (University of California, Santa Cruz)
Sri Rama Chandra Kushtagi (University of Texas at Dallas)
Ernst Kuwert (University of Freiburg, Germany)
Julia Lenczewska Wroclaw (University of Science and Technology)
Yueh-Ju Lin (Wichita State University)
Rafael López Soriano (Universidad de Granada)
Ali Maalaoui (Clark University)
Diego Alfonso Marín Muñoz (Universidad de Granada) (email)
Juan Silverio Martínez Baena (Universidad de Granada)
Vittorio Martino (University of Bologna)
Dorian Martino (Université Paris Cité)
Filippo Mastropietro (Università degli Studi di Milano)
Rafe Mazzeo (University of Stanford)
Lorenzo Mazzieri (Università degli Study di Trento)
Stephen McKeown (University of Texas at Dallas)
Rodrigo Morón Sanz (Universidad de Málaga)
Najma Mosadegh kordmahaleh (Azarbaijan Shahid Madani University)
Giulio Pascale (Università degli Studi di Napoli "Federico II")
Samuel Pérez-Ayala (Princeton University)
Angela Pistoia (Sapienza Università di Roma)
Luigi Pollastro (Università degli Studi di Milano)
Julián Pozuelo (Universidad de Granada)
Jie Qing (UCSC)
Abishek Rajan (UC Berkeley)
Jesse Ratzkin (Universität Würzburg)
Francisco Javier Reyes Sánchez (IMAG-UGR)
Serena Rocci (Sapienza Università di Roma)
Magdalena Rodríguez (Universidad de Granada)
David Ruiz (Universidad de Granada)
Jorge Ruiz Cases (Universidad Autónoma de Madrid)
Miguel Sánchez Caja (Universidad de Granada)
Daniel Raom Santiago (Sapienza Università di Roma)
Makson Santos (Instituto Superior Tecnico - University of Lisbon)
Waldemar Schefer (Bielefeld University)
Delia Schiera (Instituto Superior Técnico)
Luca Seemungal (University of Leeds)
Benjamin Sharp (University of Leeds)
Jinwoo Shin (Korea Institute for Advanced Study)
Hepp Solveig (Bielefeld University)
Romani Speciel (Stanford University)
Susanna Terracini (University of Turin)
Raphael Tsiamis (Harvard University)
Aaron Tyrrell (Texas Tech University)
Yi Wang (Johns Hopkins)
Guofang Wang (University of Freiburg)
Juncheng Wei (UBC Vancouver)
Liangjun Weng (University of Rome Tor Vergata)
Zetian Yan (Penn State University)
Paul Yang (Princeton University)
Ge Yuxin (University of Toulouse 3)
Chaona Zhu (University of Rome "Tor Vergata")

REGISTRATION

The registration is now closed.

FINANCIAL SUPPORT

We are glad to announce that we will be able to provide some students and young postdocs with accommodation (in a shared room with another participant). Please indicate if you are applying for it when you register.

Deadline (Financial support application): 1st March 2023.

Hotels

Some hotels close to IMAG (where the conference will take place) are:

Hotel Catalonia
Luna Granada
Granada Center
Hotel Reina Cristina

Some more hotels (a bit more expensive):

Granada five sense
Eurostar
Sercotel

Cheaper option:

Pensión San Joaquín

How to arrive

See general instructions here.

Poster

Download the poster here

Organizing Committee:

Azahara DelaTorre Pedraza: azahara.delatorrepedraza@uniroma1.it
María del Mar González: mariamar.gonzalezn@uam.es