Home » Polynomial Method

Summer Graduate School

Polynomial Method

July 08, 2019 - July 19, 2019

Parent Program:	--
Location:	MSRI: Simons Auditorium, Atrium

Organizers

Adam Sheffer (Bernard M. Baruch College, CUNY), LEAD Joshua Zahl (University of British Columbia)

Teaching Assistants(s)

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Cosmin Pohoata (California Institute of Technology)

Speaker(s)

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Marina Iliopoulou (University of Kent)
Cosmin Pohoata (California Institute of Technology)
Adam Sheffer (Bernard M. Baruch College, CUNY)
Joshua Zahl (University of British Columbia)

Description

from distinct distances in the plane to line incidences in R^3

In the past eight years, a number of longstanding open problems in combinatorics were resolved using a new set of algebraic techniques. In this summer school, we will discuss these new techniques as well as some exciting recent developments.

Bibliography

For eligibility and how to apply, see the Summer Graduate Schools homepage

Keywords and Mathematics Subject Classification (MSC)

Tags/Keywords

discrete geometry
combinatorial geometry
incidence geometry
polynomial method
distinct distances

Primary Mathematics Subject Classification

Secondary Mathematics Subject Classification No Secondary AMS MSC

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MSRI Collegiality Statement

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Schedule, Notes/Handouts & Videos

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Jul 08, 2019
Monday

09:00 AM - 09:15 AM		Introduction to MSRI
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail
09:15 AM - 10:15 AM		Introduction to the polynomial method Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:45 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:45 AM - 12:00 PM		The joints problem Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 09, 2019
Tuesday

09:00 AM - 10:15 AM		Introduction to Incidences Adam Sheffer (Bernard M. Baruch College, CUNY)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:45 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:45 AM - 12:00 PM		The Polynomial Partitioning Theorem Adam Sheffer (Bernard M. Baruch College, CUNY)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 10, 2019
Wednesday

09:00 AM - 10:15 AM		Incidences via Polynomial Partitioning Adam Sheffer (Bernard M. Baruch College, CUNY)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:30 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:30 AM - 11:30 AM		More Applications of Incidences Adam Sheffer (Bernard M. Baruch College, CUNY)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
11:30 AM - 02:00 PM		BBQ Lunch at Tilden Park
Location Tilden Park Video -- Abstract -- Supplements -- Show Detail

Jul 11, 2019
Thursday

09:00 AM - 10:15 AM		Distinct distances in the plane Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:45 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:45 AM - 12:00 PM		Distinct distances in the plane continued Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 12, 2019
Friday

09:00 AM - 10:15 AM		Distinct distances in the plane continued Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:45 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:45 AM - 12:00 PM		Distinct distances in the plane continued Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 15, 2019
Monday

09:00 AM - 10:15 AM		Distinct distances in the plane continued Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:45 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:45 AM - 12:00 PM		Finite Field Kakeya Adam Sheffer (Bernard M. Baruch College, CUNY)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 16, 2019
Tuesday

09:00 AM - 10:15 AM		The Cap Set Problem Adam Sheffer (Bernard M. Baruch College, CUNY)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:45 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:45 AM - 12:00 PM		The Cap Set Problem continued Adam Sheffer (Bernard M. Baruch College, CUNY)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Problem Session Cosmin Pohoata (California Institute of Technology)
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 17, 2019
Wednesday

09:00 AM - 10:15 AM		The restriction problem in R3 Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:45 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:45 AM - 12:00 PM		The restriction problem in R3 continued Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail

Jul 18, 2019
Thursday

09:00 AM - 10:15 AM		The restriction problem in R3 continued Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:45 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:45 AM - 12:00 PM		The restriction problem in R3 continued Joshua Zahl (University of British Columbia)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Problem Session Marina Iliopoulou (University of Kent)
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail

Jul 19, 2019
Friday

09:00 AM - 10:15 AM		Sum-product in finite fields Adam Sheffer (Bernard M. Baruch College, CUNY)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
10:15 AM - 10:45 AM		Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
10:45 AM - 12:00 PM		Sum-product in finite fields continued Adam Sheffer (Bernard M. Baruch College, CUNY)
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail
12:00 PM - 02:00 PM		Lunch
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
02:00 PM - 03:00 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail
03:00 PM - 03:30 PM		Tea Break
Location MSRI: Atrium Video -- Abstract -- Supplements -- Show Detail
03:30 PM - 04:30 PM		Problem Session
Location MSRI: Simons Auditorium Video -- Abstract -- Supplements -- Show Detail