The Study Seminar -- Fall 2007

Thursdays 2:10-3:00 -- East Hall 3096
........... and 3:10-4:00 -- East Hall 4088

PAST SEMINARS: Winter 07   Fall 06  Winter 06 

To schedule a talk, or for more information, please contact Pekka Pankka (pankka 'at' umich.edu).

Thursday, December 6.

No seminar. (Finnish independence day.)

Thursday, November 29.

Speaker: Jon Handy, UM.
Title: The Wolff's Proof of the Corona Theorem, Part 2

Abstract: Carleson's original proof of the corona theorem for the
unit disc in 1962 was very difficult, but in 1980 Thomas Wolff
discovered a much simpler, graceful proof. (Word spread so quickly he
never had to publish the proof himself!) Since the theory of Hardy
spaces is not as fashionable as it once was, we will begin this week
by examining the interaction of the geometry of analytic functions in
the disc with the geometry of the boundary (the unit circle) and with
measures in the disc with certain geometric properties. (continued)

Thursday, November 22.

Thanksgiving.

Thursday, November 15.

Speaker: Jon Handy, UM.
Title: The Wolff's Proof of the Corona Theorem, Part 1

Abstract: Carleson's original proof of the corona theorem for the
unit disc in 1962 was very difficult, but in 1980 Thomas Wolff
discovered a much simpler, graceful proof. (Word spread so quickly he
never had to publish the proof himself!) Since the theory of Hardy
spaces is not as fashionable as it once was, we will begin this week
by examining the interaction of the geometry of analytic functions in
the disc with the geometry of the boundary (the unit circle) and with
measures in the disc with certain geometric properties.

Thursday, November 8.

Speaker: Daniel Meyer, UM.
Title: The Douady-Earle extension II

Abstract: Let f be a quasisymmetric map from the unit circle to itself. Douady-Earle have constructed an extension F of this map to to closed unit disk. It is natural in the following sense. Let h be a Moebius transformation of the unit disk. Then the extension of h\circ f is given by h\circ F. (continued)

Thursday, November 1.

No seminar

Note the exceptional date, time, and place!

Wednesday, October 24. 3-4pm EH 4096 & Thursday, October 25. 3-4pm EH 4088

Speaker: Daniel Meyer, UM.
Title: The Douady-Earle extension

Abstract: Let f be a quasisymmetric map from the unit circle to itself. Douady-Earle have constructed an extension F of this map to to closed unit disk. It is natural in the following sense. Let h be a Moebius transformation of the unit disk. Then the extension of h\circ f is given by h\circ F.

Thursday, October 18.

Speaker: Pekka Pankka, UM.
Title: The mapping class group V

Abstract: Let S be a smooth closed simply connected 2-manifold. By definition the mapping class group of S is the quotient M(S) = Homeo^+(S)/Homeo_0(S), where Homeo^+(S) is the group of all orientation preserving homeomorphisms on S and Homeo_0(S) is the group of all homeomorphisms on S isotopic to the identity. In this talk we continue the discussion on the Nielsen-Thurston trichotomy of mapping classes.

Thursday, October 11.

Speaker: Pekka Pankka, UM.
Title: The mapping class group IV

Abstract: Let S be a smooth closed simply connected 2-manifold. By definition the mapping class group of S is the quotient M(S) = Homeo^+(S)/Homeo_0(S), where Homeo^+(S) is the group of all orientation preserving homeomorphisms on S and Homeo_0(S) is the group of all homeomorphisms on S isotopic to the identity. In this talk we continue the discussion on the Nielsen-Thurston trichotomy of mapping classes.

Thursday, October 4.

Speaker: Pekka Pankka, UM.
Title: The mapping class group III

Abstract: Let S be a smooth closed simply connected 2-manifold. By definition the mapping class group of S is the quotient M(S) = Homeo^+(S)/Homeo_0(S), where Homeo^+(S) is the group of all orientation preserving homeomorphisms on S and Homeo_0(S) is the group of all homeomorphisms on S isotopic to the identity. In this talk we discuss the Nielsen-Thurston trichotomy of mapping classes.

Thursday, September 27.

Speaker: Pekka Pankka, UM.
Title: The mapping class group II

Abstract: Let S be a smooth closed simply connected 2-manifold. By definition the mapping class group of S is the quotient M(S) = Homeo^+(S)/Homeo_0(S), where Homeo^+(S) is the group of all orientation preserving homeomorphisms on S and Homeo_0(S) is the group of all homeomorphisms on S isotopic to the identity. This talk is the second of a lecture series that will provide an introduction to this subject.

Thursday, September 20.

Speaker: Mario Bonk, UM.
Title: The mapping class group

Abstract: Let S be a smooth closed simply connected 2-manifold. By definition the mapping class group of S is the quotient M(S) = Homeo^+(S)/Homeo_0(S), where Homeo^+(S) is the group of all orientation preserving homeomorphisms on S and Homeo_0(S) is the group of all homeomorphisms on S isotopic to the identity. This talk is the first of a lecture series that will provide an introduction to this subject.