数学与统计学院 数学中心 学术报告

时间：2011.12.27（周二）上午10:00--12:00

地点：数统学院楼4楼422

一、10:00---11:00

Operator norm localization property of metric spaces and its applications

王显金 (东华大学应用数学系)

In this talk, we will introduce the notation of operator localization property,  and its application to the higher index theory.

王显金,  四川大学基地班学士, 四川大学硕士, 复旦大学博士

二、11:00------12:00

Footed partition and Rogers-Ramanujan identities

  傅士硕 (韩国科技院数学科学系)

The Rogers-Ramanujan identities have many natural and significant generalizations. The generalization we will present in this talk was first studied by D. Bressoud, by considering the partitions he named as ”footed partition”. Bressoud then made a conjecture that two sets of partitions under certain constraints are equinumerous. The validity of the conjecture in the first two cases implies exactly the partition-theoretical interpretation for the Rogers-Ramanujan identities. We give a nearly bijective proof of the conjecture, and we provide examples to demonstrate the bijection as well.

傅士硕, 清华大学 理学学士,  宾夕法尼亚州州立大学 博士,  韩国科技院数学科学系 博士后.