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Abstract
The interaction between harmonic analysis and convex geometry has been strong for a long time. However, in recent years new methods were developed that caused a steep rise in productivity of this cooperation. This workshop will include series of lectures introducing the participants to Fourier methods in geometric tomography, Bellman techniques for extremal problems of harmonic analysis, volume and duality, and computational aspects of the subject.
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Workshop Schedule
Monday, September 12, 2022
9:50 - 10:00 AM EDT
Welcome
11th Floor Lecture Hall
Session Chair
Brendan Hassett, ICERM/Brown University
10:00 - 10:45 AM EDT
Introduction to computer assisted proofs in analysis and PDE (Part 1)
11th Floor Lecture Hall
Speaker
Javier Gomez Serrano, Brown University
Session Chair
Artem Zvavitch, Kent State University
11:00 AM - 2:00 PM EDT
Lunch/Free Time
2:00 - 2:45 PM EDT
Bellman function and convexity (Part 1)
11th Floor Lecture Hall
Speaker
Sergei Treil, Brown University
Session Chair
Artem Zvavitch, Kent State University
3:30 - 4:00 PM EDT
Coffee Break
11th Floor Collaborative Space
4:00 - 4:45 PM EDT
Uniqueness Questions in Convexity: Floating bodies and others. (Part 1)
11th Floor Lecture Hall
Speaker
Dmitry Ryabogin, Kent State University
Session Chair
Artem Zvavitch, Kent State University
5:00 - 6:30 PM EDT
Welcome Reception
Reception - Ground Floor - Hemenway's Patio
Tuesday, September 13, 2022
9:00 - 9:45 AM EDT
Introduction to computer assisted proofs in analysis and PDE (Part 2)
11th Floor Lecture Hall
Speaker
Javier Gomez Serrano, Brown University
Session Chair
Irina Holmes Fay, Texas A&M University
10:15 - 11:00 AM EDT
Volume and Duality (Part 1)
11th Floor Lecture Hall
Speaker
Artem Zvavitch, Kent State University
Session Chair
Irina Holmes Fay, Texas A&M University
12:00 - 2:00 PM EDT
Lunch/Free Time
2:00 - 2:45 PM EDT
Uniqueness Questions in Convexity: Floating bodies and others. (Part 2)
11th Floor Lecture Hall
Speaker
Dmitry Ryabogin, Kent State University
Session Chair
Irina Holmes Fay, Texas A&M University
3:30 - 4:00 PM EDT
Coffee Break
11th Floor Collaborative Space
Wednesday, September 14, 2022
9:00 - 9:45 AM EDT
Bellman function and convexity (Part 2)
11th Floor Lecture Hall
Speaker
Sergei Treil, Brown University
Session Chair
Alexander Koldobskiy, University of Missouri-Columbia
10:15 - 11:00 AM EDT
Introduction to computer assisted proofs in analysis and PDE (Part 3)
11th Floor Lecture Hall
Speaker
Javier Gomez Serrano, Brown University
Session Chair
Alexander Koldobskiy, University of Missouri-Columbia
11:45 AM - 12:30 PM EDT
Volume and Duality (Part 2)
11th Floor Lecture Hall
Speaker
Artem Zvavitch, Kent State University
Session Chair
Alexander Koldobskiy, University of Missouri-Columbia
12:45 - 2:30 PM EDT
Lunch/Free Time
3:30 - 4:00 PM EDT
Coffee Break
11th Floor Collaborative Space
Thursday, September 15, 2022
9:00 - 9:45 AM EDT
Bellman function and convexity (Part 3)
11th Floor Lecture Hall
Speaker
Sergei Treil, Brown University
Session Chair
Artem Zvavitch, Kent State University
10:15 - 11:00 AM EDT
Volume and Duality (Part 3)
11th Floor Lecture Hall
Speaker
Artem Zvavitch, Kent State University
Session Chair
Irina Holmes Fay, Texas A&M University
12:00 - 2:00 PM EDT
Lunch/Free Time
2:00 - 2:45 PM EDT
Uniqueness Questions in Convexity: Floating bodies and others. (Part 3)
11th Floor Lecture Hall
Speaker
Dmitry Ryabogin, Kent State University
Session Chair
Artem Zvavitch, Kent State University
3:30 - 4:00 PM EDT
Coffee Break
11th Floor Collaborative Space
Friday, September 16, 2022
9:00 - 9:45 AM EDT
Examples of harmonic analysis Bellman functions and why they are Bellman (Part 1)
11th Floor Lecture Hall
Speaker
Alexander Volberg, Michigan State University
Session Chair
Artem Zvavitch, Kent State University
10:15 - 11:00 AM EDT
Examples of harmonic analysis Bellman functions and why they are Bellman (Part 2)
11th Floor Lecture Hall
Speaker
Alexander Volberg, Michigan State University
Session Chair
Artem Zvavitch, Kent State University
12:00 - 2:00 PM EDT
Lunch/Free Time
2:00 - 2:45 PM EDT
Dyadic martingales and the hypercube: duality
11th Floor Lecture Hall
Speaker
Paata Ivanishvili, University of California, Irvine
Session Chair
Artem Zvavitch, Kent State University
3:30 - 4:00 PM EDT
Coffee Break
11th Floor Collaborative Space
