Analysis Student Seminar — Fall 2020: Notions of Convexity

Organizers

• El Mehdi Ainasse and Matthew Dannenberg.

Meeting times

• Tuesdays, 12:00 PM to 01:00 PM, starting September 8th, 2020.

Location

• Zoom link: https://stonybrook.zoom.us/j/99368561051?pwd=bDk1bTkrTWV6c0Z2UXYyZ1Y3T1BKQT09
• Meeting ID: 993 6856 1051
• Passcode: 113719

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:

• A short history of convexity. By Roman J. Dwilewicz.

Book:

• Notions of Convexity. By Lars Hörmander.
  • Book reviews of Hörmander’s book.

More references will be added as needed.

Tentative Schedule