Riemann surfaces and non-Archimedean analytic curves

Series
Research Horizons Seminar
Time
Wednesday, January 15, 2014 - 12:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Dr. Joe Rabinoff – School of Math
Organizer
Robert Rahm
The theory of non-Archimedean analytic spaces closely parallels that of complex analytic spaces, with many theorems holding in both situations. I'll illustrate this principle by giving a survey of the structure theory of analytic curves over non-Archimedean fields, and comparing them to classical Riemann surfaces. I'll draw plenty of pictures and discuss topology, pair-of-pants decompositions, etc.