Analysis Student Seminar — Fall 2020: Notions of Convexity
- El Mehdi Ainasse and Matthew Dannenberg.
- Tuesdays, 12:00 PM to 01:00 PM, starting September 8th, 2020.
- Zoom link: https://stonybrook.zoom.us/j/99368561051?pwd=bDk1bTkrTWV6c0Z2UXYyZ1Y3T1BKQT09
- Meeting ID: 993 6856 1051
- Passcode: 113719
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!
Here are some links to relevant materials in different forms:
More references will be added as needed.
|Jacob Mazor||09/08/2020||An overview of convexity||(NONE)|
|Paul Sweeney||09/15/2020||Convex functions of one variable||Click here. Passcode: 7?.0u^3Y|
|David Kraemer||09/22/2020||Convexity in a finite dimensional vector space – Part 1||Click here. Passcode: kF4U#r%r|
|Jae Ho Cho||09/29/2020||Convexity in a finite dimensional vector space – Part 2||Click here. Passcode: SA1?fAYP|
|Matthew Dannenberg||10/06/2020||Harmonic functions||Click here. Passcode: %*w7kSX^|
|Willie Rush Lim||10/13/2020||Subharmonic functions – Part 1||Click here. Passcode: 6cumMRi*|
|Pranav Upadrashta||10/20/2020||Subharmonic functions – Part 2||Click here. Passcode: Cj41$PVS|
|Conghan Dong||10/27/2020||Plurisubharmonic functions||Click here. Passcode: +@uFpNa1|
|El Mehdi Ainasse||11/03/2020||Pseudoconvex domains||Click here. Passcode: Hdr6QJ.0|
|El Mehdi Ainasse||11/17/2020||Brunn-Minkowski Theory & Its Complex Analogue (Slides here)||Click here. Passcode: 8T%vY9nA|
|David Kraemer||11/31/2020||Convex Optimization and Duality (Slides here)||Click here. Passcode: z9!qL70q|