2018.5.11-5.17 学术活动预告
2018/5/10 16:00:01 中国科学院数学与系统科学研究院

     Speaker:

     陈大广 教授, 清华大学

     Title:

     Spinorial proofs of the Alexandrov theorem for higher order mean curvatures in $\bH^{n+1}$

     Time & Venue:

     2018.5.11 10:00-11:00 N913

     Abstract:

     The classical Alexandrov theorem in Rn+1 states that the sphere is the only compact hypersufaces $\Sigma^n$ embedded into the Euclidean space Rn+1 with constant mean curvautre. There are different proofs and generalizations of this theorem. In 2001, Hijazi, Montiel and Zhang (Math. Res. Lett, 2001) gave an elegant spinorial proof of original Alexandrov theorem. In this talk, we provide the spinorial proofs of the Alexandrov theorem for higher order mean curvatures in $\bH^{n+1}$.

     Speaker:

     戴民 教授, 新加坡国立大学

     Title:

     Designing Stable Coins

     Time & Venue:

     2018.5.11 10:00-11:00 N613

     Abstract:

     Stable coins, which are cryptocurrencies pegged to other stable financial assets such as U.S. dollar, are desirable for blockchain networks to be used as public accounting ledgers for payment transactions and as crypto money market accounts for asset allocation involving cryptocurrencies, whereby being often called the "Holy Grail of cryptocurrency." However, existing cryptocurrencies are too volatile for these purposes. By using the option pricing theory, we design several dual-class structures that offer either fixed income stable coins (class A coins) pegged to a traditional currency or leveraged investment instruments (class B coins). We show that the class A coin has a volatility comparable to that of the average exchange rate of world currencies against U.S. dollar, and the class A′ coin is essentially pegged to U.S. dollar. When combined with insurance from a government, the design can also serve as a basis for issuing a sovereign cryptocurrency. This work is jointly with Yizhou Cao, Steven Kou, Lewei Li, and Chen Yang.

     Speaker:

     李 刚, 山东大学数学学院

     Title:

     On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity

     Time & Venue:

     2018.5.14 9:30-10:30 N204

     Abstract:

     We will take the conformal class of the Berger sphere as an example to show that when the conformal infinity is the conformal class of a homogeneous metric on the sphere which is close to the round metric, then the conformally compact Einstein metric that fills in is unique up to isometry.

     来源：中国科学院数学与系统科学研究院

     中国科学院数学与系统科学研究院

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