# On $(\varphi,\Gamma)$-modules for Lubin-Tate extensions

• Otmar Venjakob (Heidelberg)
• Tuesday 29 January 2019, 14:30-15:30
• MR13.

We report on joint work with Peter Schneider: In the Lubin-Tate setting we study pairings for analytic $(\varphi,\Gamma)$-modules and prove an abstract reciprocity law which then implies a relation between the analogue of Perrin-Riou’s Big Exponential map as developed by Berger and Fourquaux and a $p$-adic regulator map whose construction relies on the theory of Kisin-Ren modules generalising the concept of Wach modules to the Lubin-Tate situation.

This talk is part of the Number Theory Seminar series.