[Csdmsemo] Reminder for tonight's Mathematical Conversations

[Kristina Phillips]

INSTITUTE FOR ADVANCED STUDY

School of Mathematics

Princeton, NJ 08540

 

Mathematical Conversations

Wednesday, January 23

 

About Mathematical Conversations: We meet in Harry's Bar* at 6pm, where free
drinks are provided. After 20 minutes, we move to the Dilworth room, where
the speaker gives a 20-minute talk, followed by 15 minutes of discussion
with the audience. After that we return to the bar for further discussions.
Website: https://www.math.ias.edu/math-conversations

 

*Please note that Harry's Bar is closed tonight, but drinks will be
available in the Dilworth Room.

 

To view mathematics in titles and abstracts, please click on the talk's
link.

 

 

Topic:                    Bourgain and the sum-product phenomena

Speaker:              Avi Wigderson, Herbert H. Maass Professor, School of
Mathematics

Time/Room:       6:00pm - 7:30pm/Dilworth Room

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=136627>
http://www.math.ias.edu/seminars/abstract?event=136627

 

In 2004 Jean Bourgain proved, with Netz Katz and Terry Tao, the "sum-product
theorem in finite fields". He referred to this result (and proof technique)
as a "goose which lays golden eggs". Indeed, in subsequent years, he has
published a couple of dozen papers on consequences and applications to
numerous areas: Analysis, Number Theory, Group Theory, Dynamical Systems,
Combinatorial Geometry, Graph expansion, Randomness extractors and more. His
works were naturally followed by many others, creating what Jean liked
calling "the sum-product phenomena", and making clear how fundamental this
initial work was. 

I will only have time to explain what is a "sum-product theorem", talk about
the history of the problem, perhaps give a couple of applications. These may
change your view on the interaction of the two operations we all learn in
grade school and take for granted since: addition and multiplication.

 

 

 

 

 

http://www.math.ias.edu/seminars

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