Limits of complex integrals and non-archimedean geometry

https://hu-berlin.zoom.us/j/61339297016
Contact: Gaetan Borot

Chambert-Loir and Ducros recently developed a theory of real valued $(p,q)$-forms and currents on Berkovich spaces which is an analogue of the theory of differential forms on complex spaces. This theory allows to integrate compactly supported forms of maximal bidegree, the output being a real number. In this talk I will explain how these integrals occur as limits of one-parameter families of complex integrals. This is joint work with A. Ducros and E. Hrushovski.