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Colloquium, Academic Year 18-19

Thursdays 4:10 pm in 5211 Stevenson Center, unless otherwise noted
Tea at 3:33 pm in 1425 Stevenson Center
Colloquium Chair (2018-2019): Dechao Zheng



September 27, 2018 (Thursday), 4:10 pm

K-groups and Rings of Integers

Adebisi Agboola, UC Santa Barbara
Location: Stevenson 5211

Suppose that F is a number field and that G is a finite group. The inverse Galois problem asks whether or not there exists an extension of F whose Galois group is isomorphic to G. This question is known to have an affirmative answer in many cases, but is unsolved in general. I shall discuss a conjecture in relative algebraic K-theory (in essence, a conjectural Hasse or local-global principle applied to certain relative algebraic K-groups) that implies an affirmative answer to both the inverse Galois problem and to an analogous problem concerning the Galois module structure of rings of integers in tame extensions of F. The K-theoretic conjecture can be proved in many cases (subject to mild technical conditions) e.g. for groups of odd order, giving an analogue of a classical theorem of Shafarevich in this setting. While this approach does not, as yet, resolve any new cases of the inverse Galois problem, it does yield a quite substantial advance in our knowledge concerning the Galois module structure of rings of integers. Tea at 3:33 pm in Stevenson 1425. (Contact Person: Dietmar Bisch)

October 11, 2018 (Thursday), 4:10 pm

Talk Title TBA

Christine Heitsch, Georgia Tech
Location: Stevenson 5211

Tea at 3:33 pm in Stevenson 1425. (Contact Person: Mark Ellingham)

October 25, 2018 (Thursday), 4:10 pm

Talk Title TBA

Ilya Kapovich, University of Illinois at Urbana-Champaign
Location: Stevenson 5211

Tea at 3:33 pm in Stevenson 1425. (Contact Person: Denis Osin)

November 1, 2018 (Thursday), 4:10 pm

Talk Title TBA

Andrei Okounkov, Columbia University
Location: Stevenson 5211

Tea at 3:33 pm in Stevenson 1425. (Contact Person: Vaughan Jones)

November 8, 2018 (Thursday), 4:10 pm

Talk Title TBA

Susan Friedlander, University of Southern California
Location: Stevenson 5211

Tea at 3:33 pm in Stevenson 1425. (Contact Person: Giusy Mazzone)

February 7, 2019 (Thursday), 4:10 pm

Talk Title TBA

Dennis Sullivan, Suny at Stony Brook
Location: Stevenson 5211

Tea at 3:33 pm in Stevenson 1425. (Contact Person: Marcelo Disconzi)

April 18, 2019 (Thursday), 4:10 pm

Talk Title TBA

Vladimir Sverak, University of Minnesota
Location: Stevenson 5211

Tea at 3:33 pm in Stevenson 1425. (Contact Person: Gieri SImonett)

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