Günter Harder

Günter Harder (born March 14, 1938 in Ratzeburg ) is a German mathematician .

Günter Harder 2008

Career

Harder studied mathematics and physics in Hamburg and Göttingen . Simultaneously with the state examination , he received his doctorate in 1964 in Hamburg under Ernst Witt with a thesis on the Galois cohomology of certain algebraic groups ( On the Galois cohomology of the Tori ). The habilitation followed two years later . After a year of assistantship at Princeton University and a position as an academic advisor at Heidelberg University , he was appointed full professor at the University of Bonn in 1969 , where, with the exception of a six-year stay at what was then the University of Wuppertal , he retired in 2003 worked continuously. From 1995 to 2006 he was director at the Max Planck Institute for Mathematics in Bonn.

Günter Harder's field of work is in the field of algebra and number theory . Visiting professorships - including at Harvard University and Yale University , multiple guest stays at the Institute for Advanced Study (IAS) in Princeton , at the Institut des Hautes Études Scientifiques (IHÉ.S.) near Paris , at the Tata Institute Bombay or at Mathematical Sciences Research Institute (MSRI) at the University of California, Berkeley - document his high scientific esteem. In 1988 he was awarded the Leibniz Prize by the German Research Foundation. In 2004, Harder received the Karl-Georg-Christian-von-Staudt Prize together with Friedhelm Waldhausen .

For decades he was Spiritus Rector of the working group in Oberwolfach , which takes place for one week in spring and autumn, and introduces young scientists to new, spectacular developments with changing current topics in pure mathematics and related areas.

Together with Ina Kersten , he is editor of the collected works of Ernst Witt .

In 1990 he was invited speaker at the International Mathematicians Congress in Kyoto ( Eisenstein cohomology of arithmetic groups and its applications to number theory ) and in 1970 in Nice ( Semisimple group schemes over curves and automorphic functions ).

The Harder-Narasimhan filtration is named after Harder .

His doctoral students include Kai Behrend , Ernst-Ulrich Gekeler , Jörg Bewersdorff , Joachim Schwermer and Maria Heep-Altiner .

Fonts

A Gauss-Bonnet formula for discrete arithmetically defined groups. In: Ann. Sci. École Norm. Sup. 4, 1971, pp. 409-455 (on- line ).
Chevalley groups over function fields and automorphic forms. In: Ann. of Math. 100, 1974, pp. 249-306, JSTOR 1971073 .
with MS Narasimhan : On the cohomology groups of moduli spaces of vector bundles on curves. In: Math. Ann. 212, 1974/1975, pp. 215–248 ( online )
with Robert Langlands , Michael Rapoport : Algebraic Cycles on Hilbert-Blumenthal Surfaces. In: J. Reine Angew. Math. 366, 1986, pp. 53-120 ( online ).
Eisenstein cohomology of arithmetic groups. The case GL2. In: Invent. Math. 89, No. 1, 1987, pp. 37-118, doi : 10.1007 / BF01404673 .
Eisenstein cohomology and the construction of mixed motifs. In: Lecture Notes in Mathematics. Volume 2049. Springer 1993, ISBN 978-3-540-57408-8 , doi : 10.1007 / BFb0090305 .
with Mark Goresky , Robert MacPherson : Weighted cohomology. In: Invent. Math. 116, No. 1-3, 1994, pp. 139-213, doi : 10.1007 / BF01231560 .
A congruence between a seal and an elliptic modular form. In: Gerard van der Geer , Jan Hendrik Bruinier , Don Zagier , Günter Harder (eds.): The 1-2-3 of modular forms. Springer, Berlin / Heidelberg 2008, ISBN 978-3-540-74117-6 , doi : 10.1007 / 978-3-540-74119-0_4 .
Lectures on Algebraic Geometry. 2 volumes:
- Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces. 2nd Edition. Vieweg + Teubner, Wiesbaden 2011, ISBN 978-3-8348-1844-7 , doi : 10.1007 / 978-3-8348-8330-8 ,
- Basic Concepts, Coherent Cohomology, Curves and their Jacobians. Vieweg + Teubner, Wiesbaden 2011, ISBN 978-3-8348-0432-7 , doi : 10.1007 / 978-3-8348-8159-5 .

Individual evidence

^ ^A ^b Robert Langlands: Laudation on the occasion of the award of the Karl-Georg-Christian-von-Staudt-Prize , 2004

Web links

personal data
SURNAME	Harder, Günter
BRIEF DESCRIPTION	German mathematician
DATE OF BIRTH	March 14, 1938
PLACE OF BIRTH	Ratzeburg

[langlands-1] A ^b Robert Langlands: Laudation on the occasion of the award of the Karl-Georg-Christian-von-Staudt-Prize , 2004