Colloquium: Twisted differential maps and differential algebraic independence

Event Type: 
Colloquium
Speaker: 
Wal Yan Pong
Event Date: 
Thursday, February 11, 2016 -
3:15pm to 4:15pm
Location: 
smlc356
Audience: 
General Public
Sponsor/s: 
A.Buium

Event Description: 

Department Colloquium Thursday Feb 11 3:30-4:30

Speaker: Wal Yan Pong (Cal State)

Title:

Twisted differential maps and differential algebraic independence

Abstract:

We generalize the results of Mijajlovic and Malevsevic about hyper-transcendence of meromorphic functions. To do that we introduce the notion of twisted differential maps. We will discuss some basic properties of these maps and their applications to other settings. If time permits, we will also discuss a generalization of Gokhman's result on differential transcendence of formal power series.