VaNTAGe

In spring 2020, a new mathematics seminar was started: VaNTAGe, a virtual seminar on open conjectures in number theory and arithmetic geometry. The seminar provides open access to world class mathematics, focusing on progress on unsolved problems. Our goal is to facilitate new research in number theory and arithmetic geometry without the expense and environmental impact of travel.

See https://sites.google.com/view/VaNTAGeSeminar for a schedule of upcoming lectures.

Organized by Rachel Pries and Andrew Sutherland with support from the National Science Foundation and the Simons Foundation.

Ravi Ramakrishna, Ozaki's theorem

Ravi Ramakrishna, Ozaki's theorem
Mark Shusterman, Random models of profinite groups in arithmetic geometry and topology

Mark Shusterman, Random models of profinite groups in arithmetic geometry and topology
Olga Lukina, Galois groups and the dynamics of Cantor actions

Olga Lukina, Galois groups and the dynamics of Cantor actions
Chris Hall, Division fields of superelliptic Jacobians

Chris Hall, Division fields of superelliptic Jacobians
Noémie Combe, Grothendieck path integrals

Noémie Combe, Grothendieck path integrals
Michael Larsen, The inverse Galois problem for pro-p groups

Michael Larsen, The inverse Galois problem for pro-p groups
Benjamin Collas, Oda's problem for arithmetic homotopy of moduli spaces of curves & stack symmetries

Benjamin Collas, Oda's problem for arithmetic homotopy of moduli spaces of curves & stack symmetries
Shun Ishii, Galois action on pro-p fundamental groups of punctured CM elliptic curve

Shun Ishii, Galois action on pro-p fundamental groups of punctured CM elliptic curve
Christopher Rasmussen, Heavenly elliptic curves over quadratic fields

Christopher Rasmussen, Heavenly elliptic curves over quadratic fields
Romyar Sharifi, Arithmetic through the geometry of locally symmetric spaces

Romyar Sharifi, Arithmetic through the geometry of locally symmetric spaces
Aashraya Jha, Quadratic Chabauty over number fields

Aashraya Jha, Quadratic Chabauty over number fields
Netan Dogra, Rational points on curves via algebraic cycles on surfaces (computational aspects)

Netan Dogra, Rational points on curves via algebraic cycles on surfaces (computational aspects)
Sachi Hashimoto, Rational points via p-adic L-functions

Sachi Hashimoto, Rational points via p-adic L-functions
Alex Betts, Bounding rational points using non-abelian Chabauty

Alex Betts, Bounding rational points using non-abelian Chabauty
Jennifer Balakrishnan, Rational points on modular curves and quadratic Chabauty

Jennifer Balakrishnan, Rational points on modular curves and quadratic Chabauty
Shou-Wu Zhang, Heights of homologically trivial cycles in families

Shou-Wu Zhang, Heights of homologically trivial cycles in families
Valia Gazaki, Hyperelliptic curves mapping to abelian varieties, Beilinson's conjecture for 0-cycles

Valia Gazaki, Hyperelliptic curves mapping to abelian varieties, Beilinson's conjecture for 0-cycles
Richard Hain, Where is the normal function of the Ceresa cycle constant?

Richard Hain, Where is the normal function of the Ceresa cycle constant?
Wanlin Li, The Ceresa and Gross--Kudla--Schoen cycles associated to modular curves

Wanlin Li, The Ceresa and Gross--Kudla--Schoen cycles associated to modular curves
Padma Srinivasan, Algorithms for certifying nontriviality of Ceresa cycles

Padma Srinivasan, Algorithms for certifying nontriviality of Ceresa cycles
Ari Shnidman, Vanishing criteria for Ceresa classes and examples

Ari Shnidman, Vanishing criteria for Ceresa classes and examples
Alex Kontorovich, Polymath-type projects in the age of formalized mathematics

Alex Kontorovich, Polymath-type projects in the age of formalized mathematics
Kevin Buzzard, On the ingredients for Fermat

Kevin Buzzard, On the ingredients for Fermat
María Inés de Frutos-Fernández, Local Fields in Lean

María Inés de Frutos-Fernández, Local Fields in Lean
Alex Best, Formalization and arithmetic geometry: Past, present, and future.

Alex Best, Formalization and arithmetic geometry: Past, present, and future.
Sara Checcoli, On fields with finitely many points of bounded height: around property (N)

Sara Checcoli, On fields with finitely many points of bounded height: around property (N)
Ziyang Gao, Sparsity of rational points on curves: What is known and what is expected

Ziyang Gao, Sparsity of rational points on curves: What is known and what is expected
Philipp Habegger, Conjectures on unlikely intersections: What is known and what is open?

Philipp Habegger, Conjectures on unlikely intersections: What is known and what is open?