Sebastian Goette


Professor at the Institute of Mathematics of the University of Freiburg
Zur deutschen Version dieser Seite (which will be updated more regularly).

Photo Sebastian Goette
Abteilung für Reine Mathematik
Universität Freiburg
Ernst-Zermelo-Straße 1
D-79104 Freiburg
GERMANY
E-mail: sebastian.goette at math.uni- etc.
Tel.: ++49-761/203 5571
Fax: ++49-761/203 5541
Room: 339
Secretary:
Irina Brunner
E-mail: irina.brunner at math.uni- etc.
Tel.: ++49-761/203 5548
Fax: ++49-761/203 5541
Room: 341
Office Hours: Wed 13:15-14 currently via video conference only - send me an email if you are interested!


Current Issues:
PhD position
A phd position in Differential Geometry / Topology is available within the DFG research training group Cohomological Methods in Geometry. Please contact me if you are interested.

Teaching in winter 2019/20:
Course "Algebraic Topology", Tue, Thu 10-12, HS II, Albertstr. 23b;
Exercises coordinated by S. Barmeier, Tue 12-14, SR 403, or Wed 16-18, SR119;
Seminar "Analysis in one complex variable" with K. Fedosova, Tue 14-16, SR 127; Ernst-Zermelo-Str. 1;
GK1821 Seminar, Wed 14-16, SR 404, Ernst-Zermelo-Str. 1;
Oberseminar "Differential Geometry" with N. Große, K. Wendland, Mo 16-18, SR 404, Ernst-Zermelo-Str. 1.

Teaching in summer 2020:
All teaching will be remote (using online conferences and material for download) and is expected to start on May 11.
Materials for the lecture course and the seminar will be found at Ilias.
Registration:
  1. if possible, use HisInOne,
  2. otherwise, follow the Ilias link below and ask for admittance,
  3. if that fails as well, contact Jonas Schnitzer of myself via email.

Course "Algebraic Topology II", Tue, Thu 10-12, Ilias link;
Exercises by J. Schnitzer, Ilias link;
Seminar "Topology of Manifolds" with J. Schnitzer, Tue 14-16, Ilias link;
GK1821 Seminar, Wed 14-16;
Oberseminar "Differential Geometry" with N. Große, K. Wendland, Mo 16-18.



Research:
Research Training Group "Cohomological Methods in Geometry"

Simons Collaboration "Special Holonomy in Geometry, Analysis and Physics", see also this press release.

DFG Priority Programme "Geometry at infinity", project 04 "Secondary invariants of foliations".

In my Ph. D. thesis I investigated and calculated equivariant eta-invariants of homogeneous spaces. My advisor was C. Bär.
I work on analytic and differential-topological properties of eta-invariants, Ray-Singer torsion and related objects. In particular, I study their generalisations to families and group actions, partly in cooperation with J.-M. Bismut. Moreover, I try to calculate these invariants explicitly for as many classes of examples as possible.
At the moment, I compare the analytic torsion forms of Bismut and Lott with the higher Franz-Reidemeister torsion of Igusa and Klein. In this context, I also study "exotic" smooth structures for fibre bundles.
Together with U. Semmelmann, we worked on metrics with extremal scalar curvature.


Publications and Preprints:
Preprints,
Publications,
Miscellaneous.

Lecture Notes:
Analysis I-III, 2007-09, pdf
Analysis in one complex variable, 2014, pdf
Elementary Differential Geometry, 2009, pdf
Differential Geometry, 2009-10, pdf
Differential Geometry I, 2017-18, pdf
Differential Topology, 2018, pdf
Linear Algebra I-II, 2016-17, pdf
Linear Algebra I-II, 2012-13, pdf
Topology, Algebraic Topology, 2010-11, pdf
Algebraic Topology, 2014-15, pdf
Multiple Integrals, 2013/14, pdf

Miscellaneous:
Workshop and miniconference Smooth Fibre Bundles and Higher Torsion September 1. - 7. 2003 at Göttingen (Programme of the miniconference: dvi, ps; report).
From september 1998 until september 1999 I've been a fellow of the Deutsche Forschungsgemeinschaft at the Equipe de Topologie et Dynamique of the Université de Paris-Sud in Orsay.
From February to July 2001 I've been a postdoc fellow of the MSRI at Berkeley in the special program on spectral invariants.

July 18, 2019, Sebastian Goette