MATH AMSUD project: GS&MS 21-MATH-06 – 2021 & 2022

Abstract: This project proposes to advance in the research of several topics within the areas of differential and algebraic geometry and topology. The main objectives are (i) to understand special geometric structures on Riemannian manifolds, through their interplay with geometric flows and with complex algebraic geometry; and (ii) to focus on classical problems in algebraic geometry having moduli spaces as background. This proposal has both theoretical and example-oriented objectives, with, on the one hand, qualitative results and, on the other, the construction of explicit geometric structures.

Global coordinator: Viviana del Barco (delbarc at unicamp.br)

Local coordinators:

• Argentina: Adrián Andrada (andrada at famaf.unc.edu.ar)

• Brazil: Henrique N. Sá Earp (henrique.saearp at ime.unicamp.br)

• Chile: Elizabeth Terezinha Gasparim (etgasparim at gmail.com)

• France:Eric Loubeau (loubeau at univ-brest.fr)

Participants:

• Argentinian Team

  Senior: Adrián Andrada (UNC-CONICET), Marı́a Laura Barberis (UNC-CONICET), Cecilia Herrera (UNC) and Jorge Lauret (UNC-CONICET).

  Junior: Alejandro Tolcachier (PhD, UNC-CONICET).

• Brazilian Team

  Senior: Henrique Sá Earp, (UNICAMP), Lino Grama (UNICAMP), Marcos Jardim(UNICAMP) Charles A. de Almeida (UFMG), Maurı́cio B. Corrêa (UFMG), Renato Vidal Martins (UFMG), Aline V. de Andrade (UFF), Gonzalo de Oliveira (UFF), Simon Chiossi (UFF), Andrew Clarke (UFRJ), Lázaro Rodriguez-Diaz (UFRJ), Abdel M. A. Henni (UFSC),

  Junior: Andrés Moreno (Post-doc, UNICAMP), Daniel Fadel (Post-doc, UFF), Brian Grajales (PhD, UNICAMP), Paola Saavedra (PhD, UNICAMP), Luis Portilla (PhD, UNICAMP).

• Chilean Team

  Senior: Elizabeth Terezinha Gasparim (UCN)

  Junior: Bruno Suzuki (Post-doc,UCN-USP) and Francisco Iván Rubilar Arriagada (PhD-UCN).

• French Team

  Senior: Viviana del Barco (UPSaclay), Eric Loubeau (UBO, Brest), Andrei Moroianu (CNRS/UPSaclay), Jean Vallès (UPPA, Pau), Daniele Faenzi (UB, Dijon), Eveline Legendre (IMT, Toulouse).

  Junior: Grégoire Menet (Post-doc, IF, Grenoble), Hiba Bibi (PhD, UBO), Brice Flamencourt (PhD, UPSaclay).

Activities 2021: Due to the mobility restrictions, our project has been launched on-line in the format of a Working Seminar

Activities 2022:

• March-April, MAS@IMECC

• August-September, Math AmSud meeting at FAMAF, Córdoba, Argentina Workshop GS&MS. Check the poster of the event here.

Expected member mobilities 2021: See table (The originally expected mobilities have been subject to modifications due to the pandemic)

Expected member mobilities 2022: See table

Full description of the project