Hodge Properties of some Differential Equations with Irregular Singularities
by
Centre de conférences Marilyn et James SImons
IHES
Séminaire "Equations différentielles"
Some standard differential equations with irregular singularities, like Airy or Kloosterman and their symmetric products, behave in a way similar to Gauss-Manin differential equations , and their de Rham cohomology underlie a mixed Hodge structure, possibly with finite monodromy, enabling the use of tame arithmetic methods to handle the associated exponential sums. The talk will mainly focus on the Airy case, after a joint work with Jeng-Daw Yu.
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and where the social distancing is not possible;
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Vasily Golyshev & Vladimir Roubtsov