学术报告
Singular Hochschild cohomology and higher algebra structure-汪正方 博士 （北京大学国际数学中心）
题目：Singular Hochschild cohomology and higher algebra structure
报告人：汪正方 博士 （北京大学国际数学中心）
时间：5月24日（周三）下午2:00-3:00地点：首都师范大学新教二楼611教室
摘要：The Hochschild cohomology ring of an associative algebra has a Gerstenhaber algebra structure, which is very related to the deformation theory.In this talk, we will construct a singular version of Hochschild cohomology. Analogous to the Hochschild cohomology, the singular Hochschild cohomology ring is a Gerstenhaber algebra. We will propose a singular version of Deligne conjecture：the Gerstenhaber algebra may be lifted to a homotopy Gerstenhaber algebra in the chain level. We will also talk about the Batalin-Vilkovisky (BV) algebra structure in the case of symmetric (Frobenius) algebras. By a recent joint work with Manuel Rivera, this BV algebra can be lifted to the Tate-Hochschild complex and as a consequence, we obtain a cyclic (or Calabi-Yau) A-infinity algebra and an L-infinity algebra with explicit formulae.
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