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Vasily Dolgushev, Temple University
This series of lectures will be devoted to infinite Galois extensions and I plan to follow Chapter 7 of Milne's book "Fields and Galois Theory". In this talk, I will give a brief reminder of topological groups and introduce the Krull topology on the Galois group.
Andy Raich, University of Arkansas
The main goal of this talk is to show that geometric information captured by certain invariant CR tensors provides sufficient information to establish the closed range property for $\bar\partial$ on a domain in $\mathbb{C}^n$. A secondary goal of the talk is to provide a general construction method for establishing when a domain (or its boundary) satisfies weak $Z(q)$.
Francis Bonahon, USC
The convenient formula (X+Y)^n = X^n + Y^n is (unfortunately) frequently used by our calculus students. Our more advanced students know that this relation does hold in some special cases, for instance in prime characteristic n or when YX=qXY with q a primitive n-root of unity. I will discuss similar ``miraculous cancellationsâ€™â€™ for 2-by-2 matrices, in the context of the quantum group U_q(sl_2).
Jing Tao, University of Oklahoma
Abstract: In this talk, I will describe an elementary and topological argument that gives bounds for the stable commutator lengths in right-angled Artin groups.
Khanh Le, Temple University
There are no conferences next week.