March 30, 2023
4:15 pm
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5:15 pm
CH 240
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2023-03-30 16:15:59
2023-03-30 17:15:00
Approximate subgroups and topological dynamics
Title: Approximate subgroups and topological dynamics
Speaker: Anand Pillay (University of Notre Dame)
Abstract: A (k-)approximate subgroup X of an arbitrary group G is a symmetric subset X of G such that X.X (set of x.y, for x,y in X) is covered by (k) finitely many translates of X. The problem is to explain or describe approximate subgroups in terms of homomor- phisms to (locally) compact topological groups. For X finite and k-approximate this is done by Breuillard, Green, Tao. We give a result in the most general case, using the machinery of abstract topological dynamics. (Also obtained by Hrushovski by other methods.) (Joint with K. Krupinski.)
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2023-03-30 16:15:59
2023-03-30 17:15:00
Approximate subgroups and topological dynamics
Title: Approximate subgroups and topological dynamics
Speaker: Anand Pillay (University of Notre Dame)
Abstract: A (k-)approximate subgroup X of an arbitrary group G is a symmetric subset X of G such that X.X (set of x.y, for x,y in X) is covered by (k) finitely many translates of X. The problem is to explain or describe approximate subgroups in terms of homomor- phisms to (locally) compact topological groups. For X finite and k-approximate this is done by Breuillard, Green, Tao. We give a result in the most general case, using the machinery of abstract topological dynamics. (Also obtained by Hrushovski by other methods.) (Joint with K. Krupinski.)
CH 240
America/New_York
public
Title: Approximate subgroups and topological dynamics
Speaker: Anand Pillay (University of Notre Dame)
Abstract: A (k-)approximate subgroup X of an arbitrary group G is a symmetric subset X of G such that X.X (set of x.y, for x,y in X) is covered by (k) finitely many translates of X. The problem is to explain or describe approximate subgroups in terms of homomor- phisms to (locally) compact topological groups. For X finite and k-approximate this is done by Breuillard, Green, Tao. We give a result in the most general case, using the machinery of abstract topological dynamics. (Also obtained by Hrushovski by other methods.) (Joint with K. Krupinski.)
