École polytechnique  – Centre de Mathématiques Laurent Schwartz

14h00: Martin Gallauer (Université of Warwick)

"Motivic monodromy and p-adic cohomology theories "

Limit structures in cohomology provide an indispensable tool in the study of varieties in families. This was brought to perfection in complex geometry and attempts have been made to transport it to arithmetic settings. In this talk I will introduce an approach to placing limit structures in all settings on an equal footing. It allows for a sharpening of this tool in p-adic cohomology. (Joint work with Federico Binda and Alberto Vezzani.)