SMS scnews item created by Haotian Wu at Sun 12 Mar 2017 2112
Type: Seminar
Distribution: World
Expiry: 11 Sep 2017
Calendar1: 16 Mar 2017 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology Seminar: Sasha Fish -- On the values of quadratic forms on difference sets or on non-periodic Bohr sets
Auth: haotianw@14-202-233-61.static.tpgi.com.au (hawu2800) in SMS-WASM

Geometry & Topology Seminar

On the values of quadratic forms on difference sets or on non-periodic Bohr sets (or what did I do this summer)

Sasha Fish (Sydney)

Thursday 16 March 12:00–13:00 in Carslaw 535A.

Please join us for lunch after the talk!

Abstract: I will be talking about a recent progress on the following question: Given a quadratic form Q in N variables (of a mixed signature) over the integers, show that the set of values:

1) Q(E-E) for a large set E inside Z^N contains a non-trivial subgroup of the integers.

2) Q(B) = Q(Z^N) for any non-periodic Bohr set B in Z^N.

Some parts of the talk are based on the joint work (in progress) with Kamil Bulinski (Sydney).

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