Heilbronn Focused Research Workshop on Efficient Congruencing and Decoupling, June 2019

Research Outputs from the workshop

• J. Brandes, S. T. Parsell, K. Poulias, G. Shakan, R. C. Vaughan, On generating functions in additive number theory, II: Lower-order terms and applications to PDEs

Schedule With the exception of Tuesday morning all talks take place in Howard House's 4th floor seminar room

Monday

10:00-10:15 Welcome

10:15-11:15 Kevin Hughes: Lecture on Efficient congruencing for the parabola

11:15-11:45 Coffee/Tea break

11:45-12:45 Zane Li: Lecture on decoupling for the parabola

12:45-14:00 Lunch provided

14:00-15:00 Kevin Hughes: Introduction to the problems

15:00-15:30 Coffee/Tea Break

15:00-17:00 Problem session

19:00 Group dinner at Wahaca

Tuesday in SM4 (School of Mathematics) - Note the change of venue!

10:00-11:00 Brian Cook: Discrete restriction for the sphere

11:00-11:30 Coffee/Tea

11:30-12:20 George Shakan: Vinogradov's mean value theorems for the cubic moment curve

12:30-14:30 Lunch

14:30-15:00 Kevin Hughes: Efficient congruencing for parabolic restriction

15:00-15:30 Recap on problems

15:30-16:00 Coffee/Tea

15:30-17:30 Group discussion on problems

Wednesday

10:00-11:00 Marco Vitturi: Brascamp--Lieb inequalities

11:00-11:30 Coffee

11:30-12:20 Progress report on problems and group discussion

12:30-14:30 Lunch

14:30-15:00 Akshat Mudgal: "Arithmetic Combinatorics on Vinogradov systems"

15:00-17:30 Group discussion on problems – includes coffee

Thursday

10:00-11:00 Group discussion

11:00-11:30 Coffee

11:30-12:20 Group discussion

12:30-14:30 Lunch

14:30-15:00 Kirsti Biggs: "Efficient congruencing in ellipsephic sets"

15:00-15:30 Coffee/Tea

15:30-17:30 Group discussion

19:00 Group dinner at Kuch

Friday

10:00-11:00 Group discussion

11:00-11:30 Coffee

11:30-12:20 Group discussion

12:30-14:30 Lunch

14:30-15:00 Wrap-up & reimbursements

15:00-17:30 Group discussion for those who wish to continue

Participants

Kirsti Biggs, Julia Brandes, Brian Cook, Shaoming Guo, Brandon Hanson, Zane Li, Akshat Mudgal, Scott Parsell, Javier Pliego Garcia, Konstantinos Poulias, George Shakan, Raphael Steiner, Bob Vaughan, Marco Vitturi, Ruixiang Zhang.