Joshua Zahl (UBC) "Dimension-expanding polynomials and the discretized Elekes-Ronyai theorem"
When:
- Monday, February 22, 2021 from 4:10pm to 5:15pm
Where:
- Zoom meeting: 989 6034 6659 Password: math
Description:
-
Virtual Math Seminar.
Monday, February 22, 4:10-5:15pm MT
Zoom link, meeting, and password:
- https://zoom.us/j/98960346659?pwd=YVpSTzVuOTUwYzFRWmQvNktqeTg1Zz09
- 989 6034 6659
- math
Speaker.
Joshua Zahl (University of British Columbia)
Title.
Dimension-expanding polynomials and the discretized Elekes-Ronyai theorem
Abstract.
I will discuss a discretized version of the Elekes-Ronyai theorem from additive combinatorics, which is closely related to the sum-product problem. The Elekes-Ronyai theorem has recently had applications to combinatorial geometry, including variants of the Erdos distinct distances problem. The discretized version of the Elekes-Ronyai theorem has similar applications, and in particular I will discuss some new results on a pinned version of the Falconer distance problem. This is joint work with Orit Raz.
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