题目：Twist automorphisms on quantum unipotent cells and the dual canonical bases

报告人：Yoshiyuki Kimura教授 (Osaka Prefecture University)

摘要： Quantum unipotent cell is introduced by De concini-Procesi as a quantum analogue of the coordinate ring of unipotent cells and they proved an isomorphism between quantum analogue of coordinate ring of unipotent subgroup and shifted Gaussian cells in finite type. In this talk, we construct quantum analogue of twist automorphism whose classical counterpart is introduced by Berenstein-Zelevinsky in the study of total positivity for Schubert varieties. We prove the quantum twist automorphism preserves the dual canonical basis of quantum unipotent cells and quantum cluster monomials. This is a joint work with Hironori Oya.

时间：9月21日(周五）10：30-11：30

地点：新教二楼808教室

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