Ax-Schanuel and the Rank One Riemann-Hilbert Correspondence - Jonathan Pila

Workshop on Recent Developments in Hodge Theory and O-minimality 10:45am|Simonyi Hall 101 Topic: Ax-Schanuel and the Rank One Riemann-Hilbert Correspondence Speaker: Jonathan Pila Affiliation: Institute for Advanced Study Date: March 09, 2026 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.