Differential evolutive problems in spaces with singularities

Scope of the conference is to present recent advances in geometric analysis in spaces with singularities, with particular emphasis on sub-Riemannian and degenerate structures, PDEs in this setting, and applications to vision, cognition, and biological problems.

  • Date:

    12 SEPTEMBER
    -
    13 SEPTEMBER 2024
     

  • Event location: ACCADEMIA NAZIONALE DEI LINCEI CENTRO LINCEO INTERDISCIPLINARE «BENIAMINO SEGRE» ROMA - Palazzo Corsini, Via della Lungara 10

  • Type: Cofunded event

Organizers:

  • Luigi Ambrosio, Piermarco Cannarsa, Giovanna Citti

Fundings:

The conference is cofunded by

  • Accademia Nazionale dei Lincei, Centro Linceo Interdisciplinare «Beniamino Segre»
  • Department of Mathematics, University of Bologna
  • the European Union - Next Generation EU. Project PRIN 2022 F4F2LH - CUP J53D23003760006 "Regularity problems in sub-Riemannian structures".

Preliminary Schedule: 

Thursday

  • 10.00-10.10 Opening
  • 10.10-10.50 Andrea Mondino (University of Oxford) On the unification of Riemannian, Finslerian and Sub-Riemannian synthetic Ricci lower bounds
  • 10.50-11.40 Ludovic Rifford (Université Côte d'Azur) On the minimizing Sard Conjecture in sub-Riemannian geometry
  • 11.40-12.00 coffee break 
  • 12.00-12.40 Lorenzo Mazzieri (Università di Trento) Geometric inequalities and potential theory
  • Lunch break
  • 14.30-15.10  Alessandro Sarti (CAMS, EHESS, Paris)  Differential heterogenesis
  • 15.20-16.00 Giuseppe Longo (Ecole Normale Supérieure, Paris) The physical singularity of life
  • 16.00-16.20 coffee break
  • 16.20-17.00 Roberta Ghezzi (Università degli Studi di Roma "Tor Vergata") Regularity theory and geometry of unbalanced optimal transport
  • 17.10-17.50 Annalisa Baldi (Alma Mater Studiorum, Università di Bologna) Continuos primitives for differential forms in Euclidean spaces and Heisenberg groups

Friday

  • 9.20-10.00 Enrico Le Donne (Université de Fribourg) Variational Curve Flows in Carnot Groups
  • 10.10-10.50 Roberto Monti (Università di Padova) TBA
  • 10.50-11.10 coffee break 
  • 11.10-11.50 Luca Rizzi (SISSA, Trieste) Sard properties for polynomial maps in infinite dimension with applications to the Sard conjecture in Carnot groups
  • 12.00-12.40 Ugo Boscain (Sorbonne Université, Paris VI) Heat and Schroedinger evolution on surfaces embedded in 3D contact SR manifolds

Abstracts

Directions only for the speakers, lodging at the Guesthouse

The Guesthouse (Foresteria) of the Accademia Nazionale dei Lincei is located in Via della Lungara 231 (groundfloor and first floor), just across the street from the Academy’s headquarters (Palazzo Corsini, Via della Lungara 10). e-mail address foresteria@lincei.it

Keys to the main entrance of the Guesthouse and to your room can be collected at the porter’s lodge located at the entrance of Palazzo Corsini (Via della Lungara 10) from 7:00 am up until 7:30 pm, Monday thru Saturday.

Should you arrive after 7:30 pm, please collect your keys directly at the Guesthouse (Via della Lungara 231, ring doorbell “FORESTERIA”) from the Guesthouse custodian, Mr. Michele Lucci

  • phone: +39 06 6802 7242
  • mobile: +39 347 925 1848

Should you have to cancel your stay at the last minute, please inform the Guesthouse custodian via text message or telephone call to his mobile no later than 5:30 pm. In the envelope containing your keys, you will also find a registration form that you must complete upon your arrival and leave in your room.

Check out time is 10:00 am. Kindly leave the keys inside your room in the original envelope. If you need to stay on the premises after check out time, your baggage may be left at the porter’s lodge at the entrance of Palazzo Corsini.