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Saibal Ganguli (Harish-Chandra Research Institute, Allahabad)
Date & Time
Fri, 14 July 2017, 11:30 to 12:30
Emmy Noether Seminar Room, ICTS Campus, Bangalore

Adler had showed that the Toda system can be given a coadjoint orbit description. In this talk we discuss how we quantized the Toda system by viewing it as a single orbit of a multiplicative group of lower triangular matrices of determinant one with positive  diagonal entries. We also discuss how we get  an unitary representation of the group with square integrable polarized sections of the quantization as the module .We  also discuss how we find the Rawnsley coherent states after completion of the above space of sections.

The above work which we are to discuss is a joint work with Professor Rukmini Dey. If time permits we will give a short survey of my other works.

Elementry knowledge of integrable systems. group theory, Lie theory, vector bundles and manifolds will be assumed.