## Moduli Spaces in Algebraic Geometry and Applications

Organizers:

• Marcos Jardim, University of Campinas, Brazil
• Leticia Brambila Paz, CIMAT, Mexico
• Izzet Coskun, University of Illinois at Chicago, USA
• Jack Huizenga, Pennsylvania State University, USA

Contact Organizer:

• Marcos Jardim, University of Campinas, Brazil, This email address is being protected from spambots. You need JavaScript enabled to view it.

Schedule:

• Wednesday 14, 12:00 to 16:00 UTC-3.
• Thursday 15, 12:00 to 16:00 UTC-3.
• Tuesday 20, 16:00 to 20:00 UTC-3.

##### Wednesday, July 14, 12:00 ~ 16:00
 12:00 ~ 12:40 Blown-up toric surfaces with non-polyhedral effective cone Ana-Maria Castravet - Université de Versailles, France 12:40 ~ 13:20 Rationality of moduli spaces Inder Kaur - Pontifı́cia Universidade Católica do Rio de Janeiro (PUC-Rio), Brazil 13:20 ~ 14:00 Hyperkähler geometry of moduli of parabolic Higgs bundles in genus 0 Claudio Meneses - Christian-Albrechts-Universität zu Kiel, Germany 14:00 ~ 14:40 Moduli varieties of twisted local systems Florent Schaffhauser - Universidad de Los Andes, Colombia 14:40 ~ 15:20 Brill--Noether theory over the Hurwitz space Isabel Vogt - University of Washington/Brown University, USA 15:20 ~ 16:00 The Kodaira dimension of the moduli space of curves: recent progress on a century old problem. Gavril Farkas - Humboldt Universität Berlin, Germany
##### Thursday, July 15, 12:00 ~ 16:00
 12:00 ~ 12:40 Moduli spaces of unstable sheaves via non-reductive GIT Victoria Hoskins - Radboud University Nijmegen, The Netherlands 12:40 ~ 13:20 Open problems in geography of surfaces Giancarlo Urzúa - Pontificia Universidad Católica de Chile, Chile 13:20 ~ 14:00 Global Prym-Torelli theorem for ramified double coverings Angela Ortega - Humboldt Universität zu Berlin, Germany 14:00 ~ 14:40 Geometric stability conditions under autoequivalences Cristian Martinez - Universidade Estadual de Campinas , Brazil 14:40 ~ 15:20 Special surfaces on special cubic fourfolds Emanuele Macri - Université Paris-Saclay, France 15:20 ~ 15:40 Moduli spaces of quiver representations and an open conjecture Kaveh Mousavand - Queen's University, Canada 15:40 ~ 16:00 On the Segre Invariant for Rank Two Vector Bundles on  $\mathbb{P}^2$ Leonardo Roa Leguizamón - Universidad Michoacana de San Nicolas de Hidalgo, Mexico
##### Tuesday, July 20, 16:00 ~ 20:00
 16:00 ~ 16:40 Gale Duality, Blowups and Moduli Spaces Carolina Araujo - IMPA, Brazil 16:40 ~ 17:20 Effective cone of the moduli space of sheaves on the plane via minimal free resolutions César Lozano Huerta - UNAM, Mexico 17:20 ~ 18:00 The Vafa-Witten equations and $T$-branes Ruxandra Moraru - University of Waterloo, Canada 18:00 ~ 18:40 Variations of Hodge Structures of Rank Three $k$-Higgs Bundles and Moduli Spaces of Holomorphic Triples Ronald Zúñiga-Rojas - Universidad de Costa Rica, Costa Rica 18:40 ~ 19:20 Generalized hyperpolygons, meromorphic Higgs bundles, and integrability Steven Rayan - quanTA / University of Saskatchewan, Canada 19:20 ~ 20:00 Some Applications of Bridgeland Stability Conditions Aaron Bertram - University of Utah, USA

##### All abstracts

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