Date/Time : 16 Oct 2019 16:00
Venue : S17 #06-11
Speaker : Yeong Chyuan , Chung Leiden University

Date/Time:16 Oct 2019 16:00 Venue: S17 #06-11 Speaker: Yeong Chyuan Chung, Leiden University Coarse geometry and operator algebras In this talk, we will discuss an aspect of the interplay between coarse geometry of metric spaces, operator algebras, and K-theory of these algebras. Roe algebras are operator algebras designed to encode the coarse geometry of metric spaces. In particular, they are coarse geometric invariants. The question of the extent to which Roe algebras remember the coarse geometry of the metric space is called the rigidity problem. We will describe joint work with Bruno M. Braga and Kang Li relating the rigidity problem to the coarse Baum-Connes conjecture on the K-theory of these and other related algebras. Add to calendar: 

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Date/Time : 16 Oct 2019 10:00
Venue : S16 #03-09
Speaker : Wang Chuijia,

Date/Time:16 Oct 2019 10:00 Venue: S16 #03-09 Speaker: Wang Chuijia Geometric constructions of local Langlands correspondence for p-adic groups (II) In this talk, we review several different approaches to geometric constructions of local Langlands correspondence which are in different flavour. Add to calendar: 

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Date/Time : 10 Oct 2019 17:00
Venue : S17 #06-11
Speaker : Ashutosh Kumar, National University of Singapore

Date/Time:10 Oct 2019 17:00 Venue: S17 #06-11 Speaker: Ashutosh Kumar, National University of Singapore On partitions into null sets Given a partition P of the set of reals into Lebesgue null sets, let J be the ideal of those subsets of P whose union is null. We’ll show that, consistently, J can be countably saturated. This is a joint work with Saharon Shelah. Add to calendar: 

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Date/Time : 09 Oct 2019 16:00
Venue : S17 #05-11 SR5
Speaker : CAI Yongyong, Beijing Computational Science Research Center

Date/Time:09 Oct 2019 16:00 Venue: S17 #05-11 SR5 Speaker: CAI Yongyong, Beijing Computational Science Research Center Numerical methods for Bogoliubov excitations of Bose-Einstein condensates We study the analytical properties and the numerical methods for the Bogoliubov-de Gennes equations (BdGEs) describing the elementary excitation of Bose-Einstein condensates around the mean field ground state, which is governed by the Gross-Pitaevskii equation (GPE). Three numerical methods are proposed to solve the BdGEs, including sine-spectral method, central finite difference method and compact finite difference method. Extensive numerical tests are provided to validate the algorithms and confirm that the sine-spectral method has spectral accuracy in spatial discretization, while the central finite difference method and the compact finite difference method are second-order and fourth-order accurate, respectively. Finally, sine spectral method is extended to study the elementary excitations under optical lattice potential and solve the BdGEs around the first excited states of the GPE. Add to calendar: 

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Date/Time : 09 Oct 2019 10:00
Venue : S16 #03-09
Speaker : Wang Chuijia,

Date/Time:09 Oct 2019 10:00 Venue: S16 #03-09 Speaker: Wang Chuijia Geometric constructions of local Langlands correspondence for p-adic groups In this talk, we review several different approaches to geometric constructions of local Langlands correspondence which are in different flavor. Add to calendar: 

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Date/Time : 09 Oct 2019 14:00
Venue : S17 #04-06 SR1
Speaker : Hirofumi Osada, Kyushu University

I talk homogenization of diffusion in the two-dimensional Euclid space in a periodic Coulomb environment. That is, I consider a periodic point process in the plane. The diffusion has the repulsive interaction with the two-dimensional Coulomb potential with inverse temperature $\beta$ to each particle in the periodic point process. We first prove that the diffusion is diffusive with non-degenerated effective diffusion constant $\gamma$. We then remove one particle from the environment and consider the diffusive scaling limit of the diffusion. Then its new effective constant depends on inverse temperature $\beta$. It has a phase transition whose critical point is given explicitly in terms of the first effective diffusion constant $\gamma$ of the periodic homogenization problem. Using this result, we present explicit bounds for the critical point of the self-diffusion matrices of the strict two-dimensional Coulomb interacting Brownian motions for inverse temperature $\beta$. Moreover, we discuss the case d-dimensional case with d \ge 3.

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Date/Time : 09 Oct 2019 15:00
Venue : S17 #04-06 SR1
Speaker : Cai Tianxin, Zhejiang University

Date/Time:09 Oct 2019 15:00 Venue: S17 #04-06 SR1 Speaker: Cai Tianxin, Zhejiang University From Seeing to Discovering Our civiliza􀀁on has been developed based on modern knowledge and tradi􀀁on, oriental or occidental, but there is an important third source which has o􀀂en been largely neglected: interdisciplinary and intercultural inference and exchange. In this lecture, Professor Cai will focus on the interplay between science and humanity and in par􀀁cular the similarity among mathema􀀁cs, art, poetry, and daily life. He will explain why math is everywhere. Professor Cai believes that there is a process from seeing to discovering in any field of study or career, and he will demonstrate it through classical or modern pain􀀁ng together with some photographs that he took from all around the world. Add to calendar: 

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Date/Time : 08 Oct 2019 14:00
Venue : S17 #05-11 SR5
Speaker : Chen Xiaoyang , Tongji University

Date/Time:08 Oct 2019 14:00 Venue: S17 #05-11 SR5 Speaker: Chen Xiaoyang, Tongji University Vanishing theorems of Morse-Novikov cohomology We will discuss basic properties of Morse-Novikov cohomology and some vanishing theorems related to almost nonnegative curvature. Add to calendar: 

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Date/Time : 03 Oct 2019 17:00
Venue : S17 #06-11
Speaker : Dilip Raghavan, National University of Singapore

Date/Time:03 Oct 2019 17:00 Venue: S17 #06-11 Speaker: Dilip Raghavan, National University of Singapore All ultrafilters in L(R)[U] are rapid We will show that all ultrafilters in the model L(R)[U] are rapid. This is joint work with Paul Larson. Add to calendar: 

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