### Analysis Seminar - Fall 2018

** Tuesdays 3:30pm-4:20pm in CW 120 ** (unless otherwise noted) **Organizer:** Lizaveta Ihnatsyeva (ihnatsyeva@math.ksu.edu)

### Tuesday, September 4

**Pietro Poggi-Corradini**, Kansas State University.

**Title**: A new proof of the Rickman-Picard theorem

**Abstract**: We give a new, conceptually simple proof of the Rickman-Picard theorem for quasiregular maps. The original Rickman proof used modulus of curve families, later Eremenko and Lewis found proofs based on potential theory. Our approach is in this latter vein. Joint with M. Bonk.

### Tuesday, October 16

**Jose Luis Luna Garcia**, University of Missouri-Columbia

**Title**: Solvability of elliptic equations with lower order terms

**Abstract**: The study of boundary value problems for purely second order elliptic equations in the upper half space or a Lipschitz domain has a long and celebrated history. In this talk we will focus on generalizing well-posedness of the standard Boundary Value Problems (i.e. Dirichlet, Neumann and Regularity), in the upper half space, to equations with lower order terms (drift terms and a potential). Our results state roughly that, if the lower order terms are sufficiently small in a critical Lebesgue space norm, then the well-posedness (appropriately defined) of these Boundary Value Problems is inherited from the corresponding property for the purely second order equation.

### Tuesday, October 23

### Tuesday, October 30

### Tuesday, November 6

### Tuesday, November 13

### Tuesday, November 20

**No seminar**, Thanksgiving break

### Tuesday, November 27

### Tuesday, December 4

**Previous semesters: **Spring 06, Fall 06, Spring 07, Fall 07, Spring 08, Fall 08, Spring 09, Fall 09, Spring 10, Fall 10, Spring 11, Fall 11, Spring 12, Fall 12 , Spring 13, Fall 13, Spring 14, Fall 14, Spring 15, Fall 15, Spring 16, Fall 16, Spring 17, Fall 17, Spring 18