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On semisimplicity of quantum cohomology of P^1-orbifolds

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Speaker: 
Hua-Zhong Ke
Zugehörigkeit: 
Sun Yat-sen University, Guangzhou
Datum: 
Mon, 23/07/2018 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Extra talk

For a P^1-orbifold C, we prove that its big quantum cohomology is generically
semisimple. As a corollary, we verify a conjecture of Dubrovin for orbi-curves. We also
show that the small quantum cohomology of C is generically semisimple iff C is Fano, i.e.
it has positive orbifold Euler characteristic.

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