11-14 June 2019
Le Bois-Marie
Europe/Paris timezone

Resurgence’s Two Main Types and Their Signature Complications: Tessellation, Isography, Autarchy

11 Jun 2019, 10:00
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette


Jean Écalle (Université Paris-Sud Orsay)


Quite specific challenges attend the move from equational resurgence (i.e. resurgence in a singular variable – the main type in frequency and importance) to coequational resurgence (i.e. resurgence in a singular parameter – a close second, roughly dual to the first) : complexity soars; two Bridge equations are required instead of one; the complex valued Stokes constants make way for discrete tessellation coefficients; the acting alien algebra remains isomorphic to an algebra of ordinary differential operators, but these are now subject to isographic invariance (meaning that they annihilate some specific differential two-form); and lastly, the new resurgence coefficients possess the paradoxical property of autarchy, combining sectorial resurgence with global entireness. We shall attempt a comprehensive, up-to-date survey of the field, with emphasis on the rather unexpected and quite novel structures spawned by these two regimes of resurgence (a beefed-up version of the conference presentation shall be posted on our homepage).

Primary author

Jean Écalle (Université Paris-Sud Orsay)

Presentation Materials