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{\Large Department of Mathematics, BGU}

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{\Huge BGU Probability and Ergodic Theory  (PET) seminar}\\[0.2\baselineskip]

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\textbf{On} \emph{Thursday, June 16, 2022}
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\textbf{At} \emph{11:10 -- 12:00}
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\textbf{In} \emph{room 106, building 28}

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{\large\scshape Anton Hase 
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  (Ben-Gurion University)
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will talk about
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{\Large\bfseries (Non-)Integrability of quaternion-Kähler symmetric spaces\par}
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\textsc{Abstract:}
It is a famous result of Harish-Chandra that every non-compact Hermitian symmetric space can be realized as a bounded domain in a complex vector spaces. If we replace the complex numbers by the division algebra of quaternions in the definition of Hermitian symmetric spaces, we obtain the class of quaternion-Kähler symmetric spaces. While these spaces emerge in an analogous way, we show that there is no quaternionic analogue of Harish-Chandra's embedding theorem: A quaternion-Kähler symmetric space is integrable  if and only if it is a quaternionic vector space, quaternionic hyperbolic space or quaternionic projective space. In the talk I will explain some of the background and some of the tools used in the proof.





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{\bfseries Please Note the Unusual Place!}
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