Analysis Student Seminar — Fall 2020: Notions of Convexity

Organizers

Meeting times

Location

Description

This semester, the Analysis Student Seminar will be covering Notions of Convexity. Convexity is a broad concept which touches many portions of mathematics, and often forms a foundation required for strong theorems. We’ll go into a number of different applications of convexity throughout math as motivation for the topic. We’ll then move piecemeal through some of the many manifestations of convexity in different situations, from finite to infinite dimensions, and some of their implications. A variety of possible special topics in addition to those mentioned in this PDF include Minkowski’s work on convex bodies, linear programming, and some more geometric topics like Brunn-Minkowski theory.

We will expand on some of these in our first talk to motivate the theme of the seminar for this semester, and we will continually take suggestions for special topics to be covered based on interest.

We’d love to see anyone interested attend our Zoom meetings! We strive to make our seminar approachable and conversational whenever possible, so please drop in if you’re enthusiastic about the topic!

Let us know if you’d like to be added to the mailing list!

References

Here are some links to relevant materials in different forms:

Introductory article:

Book:

More references will be added as needed.

Tentative Schedule

SpeakerDateTopicZoom Recording
Jacob Mazor09/08/2020An overview of convexity(NONE)
Paul Sweeney09/15/2020Convex functions of one variableClick here. Passcode: 7?.0u^3Y
David Kraemer09/22/2020Convexity in a finite dimensional vector space – Part 1Click here. Passcode: kF4U#r%r
Jae Ho Cho09/29/2020Convexity in a finite dimensional vector space – Part 2 
Matthew Dannenberg10/06/2020Harmonic functions 
Willie Rush Lim10/13/2020Subharmonic functions – Part 1 
Pranav Upadrashta10/20/2020Subharmonic functions – Part 2 
Conghan Dong10/27/2020Plurisubharmonic functions – Part 1 
El Mehdi11/03/2020Plurisubharmonic functions – Part 2 
TBD11/10/2020Special topic 1 
TBD11/17/2020Special topic 2 
El Mehdi11/24/2020Special topic 3 
TBD12/08/2020Special topic 4