Workshop on Recent Developments in Hodge Theory and O-minimality

Ax-Schanuel and the Rank One Riemann-Hilbert Correspondence

Abstract: A result of Simpson characterizes subspaces that are (irreducible) algebraic varieties on both sides of the rank one Riemann-Hilbert correspondence. This result suggests an underlying Ax-Schanuel statement. In joint work with Jacob Tsimerman we affirm this and recover the bi-algebraicity result.

Date & Time

March 09, 2026 | 10:45am – 11:45am
Add to calendar 03/09/2026 10:45 03/09/2026 11:45 Workshop on Recent Developments in Hodge Theory and O-minimality use-title Topic: Ax-Schanuel and the Rank One Riemann-Hilbert Correspondence Speakers: Jonathan Pila, Institute for Advanced Study More: https://www.ias.edu/events/workshop-recent-developments-hodge-theory-and-o-minimality Abstract: A result of Simpson characterizes subspaces that are (irreducible) algebraic varieties on both sides of the rank one Riemann-Hilbert correspondence. This result suggests an underlying Ax-Schanuel statement. In joint work with Jacob Tsimerman we affirm this and recover the bi-algebraicity result. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Location

Simonyi Hall 101

Speakers

Jonathan Pila, Institute for Advanced Study

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