GADEPs focused conference III: Noether-Lefschetz and Hodge loci

21-25 August 2023, IMPA, Rio de Janeiro.

The seminar “Geometry, Arithmetic and Differential Equations of Periods” (GADEPs), started in the pandemic year 2020 and its aim is to gather people in different areas of mathematics around the notion of periods which are certain multiple integrals. This is the the third GADEPs conference focused on Noether-Lefschetz and Hodge loci. A Noether-Lefschetz locus lives in parameter spaces of algebraic surfaces, and there are many challenging problems regarding the distribution of codimension of its components. Periods and Hodge theory give transcendental tools in order to study them as local analytic varieties. A generalization of this is known as Hodge loci, which are a priori, analytic varieties. A deep theorem of Cattani, Deligne and Kaplan implies that these are branches of algebraic varieties, however, it does not give any hint about their field of definition. The main goal of the meeting is to gather experts (online or face to face) in order to discuss the last developments in this topic.



Gregorio Baldi (IHES, France)
Patrick Brosnan (University of Maryland, USA)
Adrian Clingher (University of Missouri-St. Louis, USA)*
Eduardo Cattani (UMass Amherst, USA)*
Jorge Duque (Univ. de Chile, Chile)
Tiago J. da Fonseca (UNICAMP, Brazil)
François Greer (Michigan State Univesity, USA)
Gregory Pearlstein (Texas A&M University)*
Colleen Robles (Duke University, USA)
Christian Schnell (Stony Brook, USA)*
Salim Tayou (Harvard University, USA)
Roberto Villaflor (PUC, Chile)
Claire Voisin (IMJ, France)*

* Online participants

Scientific program
The scientific program contains three mini courses given by Roberto Villaflor (2 lectures), Gregorio Baldi (2 lectures), Patrick Brosnan (2 lectures) and François Greer (2 lectures). Other participants will give a talk in their field of research (7 lectures). Besides these, we will leave some time for the free discussion and communication for the participants.

Hossein Movasati (IMPA, Brazil)
Younes Nikdelan (UERJ, Brazil)
Suely Lima (IMPA)