Seminar: The Atiyah-Singer index theorem, Wintersemester 2017-18

seminar announcement

Announcements

Schedule of talks

Note: All times listed are "c.t." unless otherwise noted.
Thursday October 19, 2017
13:00-15:00
RUD 25, Room 3.011
Speaker: Chris Wendl
Topic: General introduction
scanned notes
Thursday October 26, 2017
13:00-15:00
RUD 25, Room 3.011
Speaker: Chris Wendl
Topic: Sobolev spaces and partial differential operators on manifolds
Reference: Roe, chapter 5
scanned notes
Monday October 30, 2017
13:00-15:00
RUD 25, Room 1.315
Speaker: Chris Wendl
Topic: Ellipticity, regularity, Fredholm and spectral properties
Reference: related to material in chapter 5 of Roe, but more general; see also Weimin Chen's notes on elliptic equations
scanned notes
Thursday November 2, 2017 SEMINAR RESCHEDULED FOR MONDAY October 30
Thursday November 9, 2017
13:00-15:00
RUD 25, Room 3.011
Speaker: Lucas Mann
Topic: Characteristic classes and Chern-Weil theory
Reference: Roe, chapter 2
scanned notes
Thursday November 16, 2017
13:00-15:00
RUD 25, Room 3.011
Speaker: Emilio Lauret
Topic: Clifford algebras and Dirac operators
Reference: Roe, chapter 3
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Thursday November 23, 2017
13:00-15:00
RUD 25, Room 3.011
Speaker: Youshua Kesting
Topic: Spin groups, part 1
Reference: Roe, chapter 4
Thursday November 30, 2017
13:00-15:00
RUD 25, Room 3.011
Speaker: Youshua Kesting
Topic: Spin groups, part 2
Reference: Roe, chapter 4
Thursday December 7, 2017
13:00-15:00
RUD 25, Room 3.011
Speaker: Simone Zahn
Topic: The heat and wave equations
Reference: Roe, chapter 7
Thursday December 14, 2017
13:00-15:00
RUD 25, Room 3.011
Speaker 1: Simone Zahn
Topic 1: Traces and eigenvalue asymptotics
Reference 1: Roe, chapter 8

Speaker 2: Emilio Lauret
Topic 2: The quantum harmonic oscillator
Reference 2: Roe, chapter 9
Thursday December 21, 2017 NO SEMINAR THIS WEEK
Thursday January 11, 2018
13:00-15:00
RUD 25, Room 3.011
Speaker: Youshua Kesting
Topic: Genera, spin bundles and characteristic classes
Reference: Roe, chapters 2 and 4
NOTE: This is a change from the original plan, as originally the seminar was not scheduled to meet on this day.
Thursday January 18, 2018
13:00-15:00
RUD 25, Room 3.011
Speaker: Matthias Görg
Topic: The index problem for graded Dirac operators
Reference: Roe, chapter 11
Thursday January 25, 2018
13:00-15:00
RUD 25, Room 3.011
Speaker(s): Lucas Mann / Agustín Moreno
Topic: The Getzler calculus and the local index theorem, part 1
Reference: Roe, chapter 12
Thursday February 1, 2018
13:00-15:00
RUD 25, Room 3.011
Speaker(s): Lucas Mann / Agustín Moreno
Topic: The Getzler calculus and the local index theorem, part 2
Reference: Roe, chapter 12
Thursday February 8, 2018
13:00-15:00
RUD 25, Room 3.011
Speaker: Georg Lehner
Topic: Applications of the index theorem
Reference: Roe, chapter 13
Thursday February 15, 2018
13:00-15:00
RUD 25, Room 3.011
Speaker: Chris Wendl
Topic: Witten's approach to Morse theory
Reference: Roe, chapter 14
Chris Wendl's homepage