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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Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

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

All event times are listed in ICERM local time in Providence, RI (Eastern Standard Time / UTC-5).

All event times are listed in .

Request Reimbursement

This section is for general purposes only and does not indicate that all attendees receive funding. Please refer to your personalized invitation to review your offer.

ORCID iD
As this program is funded by the National Science Foundation (NSF), ICERM is required to collect your ORCID iD if you are receiving funding to attend this program. Be sure to add your ORCID iD to your Cube profile as soon as possible to avoid delaying your reimbursement.
Acceptable Costs
  • 1 roundtrip between your home institute and ICERM
  • Flights on U.S. or E.U. airlines – economy class to either Providence airport (PVD) or Boston airport (BOS)
  • Ground Transportation to and from airports and ICERM.
Unacceptable Costs
  • Flights on non-U.S. or non-E.U. airlines
  • Flights on U.K. airlines
  • Seats in economy plus, business class, or first class
  • Change ticket fees of any kind
  • Multi-use bus passes
  • Meals or incidentals
Advance Approval Required
  • Personal car travel to ICERM from outside New England
  • Multiple-destination plane ticket; does not include layovers to reach ICERM
  • Arriving or departing from ICERM more than a day before or day after the program
  • Multiple trips to ICERM
  • Rental car to/from ICERM
  • Flights on a Swiss, Japanese, or Australian airlines
  • Arriving or departing from airport other than PVD/BOS or home institution's local airport
  • 2 one-way plane tickets to create a roundtrip (often purchased from Expedia, Orbitz, etc.)
Travel Maximum Contributions
  • New England: $250
  • Other contiguous US: $750
  • Asia & Oceania: $2,000
  • All other locations: $1,500
  • Note these rates were updated in Spring 2022 and superseded any prior invitation rates. Any invitations without travel support will still not receive travel support.
Reimbursement Requests

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Refer to the back of your ID badge for more information. Checklists are available at the front desk and in the Reimbursement section of Cube.

Reimbursement Tips
  • Scanned original receipts are required for all expenses
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Reimbursement Timing

6 - 8 weeks after all documentation is sent to ICERM. All reimbursement requests are reviewed by numerous central offices at Brown who may request additional documentation.

Reimbursement Deadline

Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. Submissions after thirty days will incur applicable taxes. No submissions are accepted more than six months after the program end.

Associated Semester Workshops

Harmonic Analysis and Convexity
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Probabilistic Methods in Geometry and Analysis
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