Riemann surfaces and non-Archimedean analytic curves

Series: 
Research Horizons Seminar
Wednesday, January 15, 2014 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
School of Math
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.