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Genkai Zhang

Professor

Genkai Zhang
Professor
genkai.zhang@gu.se
+46 31-772 5385

Visiting Address: Chalmers tvärgata 3 , 41296 Göteborg


Analysis and Probability Theory at Department of Mathematical Sciences (More Information)
412 96 Göteborg
Visiting Address: Chalmers Tvärgata 3 , 412 96 Göteborg

About Genkai Zhang

Genkai Zhang is working on representation theory of Lie groups and analysis on locally symmetric spaces. Much of the fundamental symmetries in mathematics and physics can be described in terms of Lie groups of transformations on geometric objects and their manifestations are studied using representations of Lie groups as matrices. Locally symmetric spaces are manifolds with large numbers of local symmetries. This research is mainly to understand the geometric and analytic properties of the spaces such as variations of their shapes, their resonance frequencies and quantum states, to discover and eventually classify unitary representations. Recently Genkai Zhang has been working on branching rules in representation theory, which is also called symmetry breaking in physics. Genkai Zhang has collabrations with colleagues in Europe, China, Japan, South Korea and USA.

See also http://www.chalmers.se/en/Staff/Pages/genkai.aspx

Latest publications

Convex real projective structures and Weil's local rigidity theorem
I. Kim, Genkai Zhang
Journal De Mathematiques Pures Et Appliquees, Journal article 2018
Journal article

Local rigidity of complex hyperbolic lattices in semisimple Lie groups
Inkang Kim, Genkai Zhang
Mathematical Proceedings of the Cambridge Philosophical Society, Journal article 2018
Journal article

Curvature inequalities for operators of the Cowen-Douglas class
K. Wang, Genkai Zhang
Israel Journal of Mathematics, Journal article 2017
Journal article

Toeplitz Operators on Higher Cauchy-Riemann Spaces
M. Englis, Genkai Zhang
Documenta Mathematica, Journal article 2017
Journal article

Eichler–Shimura isomorphism for complex hyperbolic lattices
Inkang Kim, Genkai Zhang
Journal of Geometry and Physics, Journal article 2017
Journal article

The Capelli Identity and Radon Transform for Grassmannians
S. Sahi, Genkai Zhang
International Mathematics Research Notices, Journal article 2017
Journal article

KAHLER METRIC ON THE SPACE OF CONVEX REAL PROJECTIVE STRUCTURES ON SURFACE
I. Kim, Genkai Zhang
Journal of Differential Geometry, Journal article 2017
Journal article

Hankel operators and the Dixmier trace on the Hardy space
M. Englis, Genkai Zhang
Journal of the London Mathematical Society, Journal article 2016
Journal article

Showing 1 - 10 of 50

2018

Convex real projective structures and Weil's local rigidity theorem
I. Kim, Genkai Zhang
Journal De Mathematiques Pures Et Appliquees, Journal article 2018
Journal article

Local rigidity of complex hyperbolic lattices in semisimple Lie groups
Inkang Kim, Genkai Zhang
Mathematical Proceedings of the Cambridge Philosophical Society, Journal article 2018
Journal article

2017

Curvature inequalities for operators of the Cowen-Douglas class
K. Wang, Genkai Zhang
Israel Journal of Mathematics, Journal article 2017
Journal article

Toeplitz Operators on Higher Cauchy-Riemann Spaces
M. Englis, Genkai Zhang
Documenta Mathematica, Journal article 2017
Journal article

Eichler–Shimura isomorphism for complex hyperbolic lattices
Inkang Kim, Genkai Zhang
Journal of Geometry and Physics, Journal article 2017
Journal article

The Capelli Identity and Radon Transform for Grassmannians
S. Sahi, Genkai Zhang
International Mathematics Research Notices, Journal article 2017
Journal article

KAHLER METRIC ON THE SPACE OF CONVEX REAL PROJECTIVE STRUCTURES ON SURFACE
I. Kim, Genkai Zhang
Journal of Differential Geometry, Journal article 2017
Journal article

2016

Hankel operators and the Dixmier trace on the Hardy space
M. Englis, Genkai Zhang
Journal of the London Mathematical Society, Journal article 2016
Journal article

Showing 1 - 10 of 50

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