Theta liftings for loop GL(n) groups
14:00-15:00
Talk & Lecture
1
2821046
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2023-11-01
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Speaker: Prof. CHEN Yanze (University of Alberta)Venue: Room 101, Building 2, Haina Court, Zijingang CampusAbstract: An analogue of the Segal-Shale-Weil representation for loop symplectic groups over a local field was constructed by Zhu 15 years ago. For a reductive dual pair in a symplectic group over a global field, one can thus consider the analogue of the global theta lifting of an automorphic form in the context of loop groups. We computed the theta liftings of a "cusp form" on the loop GL(n) group induced from a "classical" cusp form for the loop group dual pair (GL(n),GL(n)), and explained the result an Eisenstein series. In this computation, an interesting model of the local loop Weil representation is introduced, which is essentially due to Kapranov. This is a joint work with Yongchang Zhu.Contact person: Prof. LIU Dongwen (maliu@zju.edu.cn)
We computed the theta liftings of a "cusp form" on the loop GL(n) group induced from a "classical" cusp form for the loop group dual pair (GL(n),GL(n)), and explained the result an Eisenstein series.
2023-11-02 14:00:00
Room 101, Building 2, Haina Court, Zijingang Campus
From structured light to future displays for metaverse
9:00-10:30
Talk & Lecture
2
2816051
/english/2023/1023/c19936a2816051/page.psp
2023-10-23
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Speaker: Prof. Zhimin ShiVenue: Online (Zoom ID: 851 7706 1692)Abstract:The first part of the talk is centered around understanding and utilizing high-dimensional light, also known as structured light. I will first present a family of direct tomography protocols that can characterize various types of structured light or high-dimensional photon states. I will introduce some high-performance mode sorters for structured light as well as a series of scan-free direct tomography protocols that can measure high-dimensional spatial modes, spatial vector modes and partially-coherent modes (mixed states). The direct tomography methods directly relate the readouts to the complex-valued description of the photon states to be measured, and can measure the entire photon state in a single experimental setup without any need of scanning. Consequently, direct measurements become critical in enabling real-time metrology of both quantum and classical photon states. I will will present some recent work on robust high-information-capacity optical communication protocols in turbulent environment, including a turbulence-resilient vector beam based communication protocol, a phase conjugation based scheme to enable communication using OAM modes with low crosstalk through a 340m free-space-link, and a vector phase conjugation scheme that can enable 210-spatial-polarization mode communication through 1 km of multi-mode fiber. These breakthroughs can lead to practical carryout of high-dimensional optical communications in realistic environment. The second part of the talk is to introduce Meta’s vision and efforts to empower people to connect with each other and the world around them. In specific, I will present some collective work from Reality Labs – Research to address one question: “What will we need for future VR’s display?”Profile of the speaker: Zhimin Shi received his Ph.D. degree in Optics from the University of Rochester in 2011. Before that, he received his Bachelor and M.S. degree in Optical Engineering, both with honors, from Zhejiang University in 2001 and 2004, respectively. He was a faculty position at the Department of Physics, The University of South Florida from 2013 to 2020. He then joined Meta Reality Labs – Research and currently is a technical lead manager working on new optical and photonic technologies to enable future AR/VR systems. His research interests include integrated photonics, metamaterials, displays, quantum state metrology, imaging and communication with structured light, slow and fast light, and optical techniques using nonclassical nature of light. Dr. Shi is a senior member of Optica (formerly OSA) , a life member of SPIE, and also currently serves as a topical editor for the Journal of Optical Society of America A.
The first part of the talk is centered around understanding and utilizing high-dimensional light, also known as structured light. The second part of the talk is to introduce Meta’s vision and efforts to empower people to connect with each other and the world around them.
2023-10-28 09:00:00
Online
Quantum corrals and quantum antidots
15:00-16:30
Talk & Lecture
3
2816055
/english/2023/1023/c19936a2816055/page.psp
2023-10-23
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Speaker: Prof. LU JiongVenue: Online (Zoom ID: 882 1089 8817)Abstract: Atomic-precision manufacturing of artificial quantum states of matter with high digital fidelity and desired quantum states not only presents exciting opportunities for exploring fundamental quantum physics, but also marks a crucial step towards the realization of atomic-scale devices for future quantum technologies. The current strategy of creating these quantum architectures mainly relies on atom-by-atom, molecule-by-molecule manipulation, or molecular assembly through non-covalent interactions, which may lack sufficient chemical robustness required for on-chip quantum device operation at elevated temperature. In this talk, I will discuss the bottom-up fabrication of robust organic quantum corrals, as well as periodic quantum corrals (eg. molecular superlattices) with flat bands. I will also present atomically precise vacancy-assembled quantum antidots in a 2D transition metal dichalcogenide. The resulting antidots have tunable quantum hole states, which are robust to oxygen substitutional doping, and could have applications in quantum information technologies. Profile of the speaker: Prof. LU Jiong holds Dean’s Chair Professorship, associate professor at Department of Chemistry and Institute for Functional Intelligent Materials at NUS. Dr. Lu received his bachelor’s degree from Fudan University (China) in 2007 and Ph.D. degree from National University of Singapore (NUS) in 2011, under the mentorship of Prof Kian Ping Loh. After that, he worked as a postdoc fellow in Graphene Research Centre at NUS, and then in Prof Mike Crommie research group at Department of Physics, UC Berkeley. His current research interests include atomic-scale materials design and investigation of atomic-scale quantum nanoscience in low-dimensional materials towards next-generation solid-state devices and atomically precise catalysis. His group has published more than 120 peer-reviewed papers in top-tier journals including Nature (1), Nature Nanotechnology (4), Nature Materials (2), Nature Electronics (1), Nature Communications, Science Advances, JACS, PRL etc. Two recent publications were selected as JACS Early Career Investigator 2021 virtual collection and JACS Reader's Pick 2022. Dr. Lu is a recipient of JMCA Emerging Investigators 2019, Young Scientist Award (2021), FOS NUS, and Young Researcher Award, NUS (2022).
In this talk, I will discuss the bottom-up fabrication of robust organic quantum corrals, as well as periodic quantum corrals (eg. molecular superlattices) with flat bands.
2023-10-27 15:00:00
Online
The allure of linearity: Exploring the link between strange metallicity and high-temperature superconductivity
20:00-21:30
Talk & Lecture
4
2816079
/english/2023/1023/c19936a2816079/page.psp
2023-10-23
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Speaker: Prof. Nigel HusseyVenue: Online (Zoom ID: 885 1517 9800)Abstract:In typical metals, the electrical resistivity ρ tends to vanish at the extreme f temperature T and magnetic field strength H, albeit for different reasons. At intermediate temperatures, however, ρ(T) is invariably linear due to the scattering of electrons off phonons – the quantized vibrations of the lattice. Electronphonon coupling is also responsible for superconductivity in many of these metals. Indeed, a robust correlation exists between the coefficient of the T-linear resistivity α and the superconducting transition temperature Tc; a link enshrined in the old adage “bad metals make good superconductors”. Despite being discovered almost four decades ago, the high-Tc cuprates still boast the highest ambientpressure Tc values of all known materials. Intriguingly, a similar correlation between α and Tc exists in cuprates too, prompting many in the field to argue that whatever is the cause of this (T-linear) scattering is also the pairing mechanism for high-temperature superconductivity. Despite a prolonged and intense search, however, the origin of this scattering has not been identified. Crucially, the linearity in ρ in cuprates extends over an anomalously broad temperature and field range, implying an unconventional electronic state. Moreover, the H-linear resistivity has a slope ϒ that also correlates with Tc. In this colloquium, I will discuss the profound implications of these correlations, along with a number of other simple observations linking the (magneto)transport properties of cuprates with their corresponding superconducting properties. Collectively, these observations motivate the search for an entirely new paradigm for hightemperature superconductivity, one in which these T- and H-linearities play a central role.Profile of the speaker:Nigel Hussey has been full professor since 2006, initially at the University of Bristol then from 2013 at Radboud University. From 2013 until 2018, he also served as director of the High Field Magnet Laboratory. His research focuses on precision measurements of the transport properties of exotic, low-dimensional metals and superconductors in high magnetic fields. He is credited with the first experimental determination of the full Fermi surface of a high temperature superconductor, and the discovery of the strange metallic state. In recognition of these discoveries, he has been a recipient of the Charles Vernon Boys medal (now the Henry Moseley medal) from the Institute of Physics, the inaugural Brian Pippard superconductivity prize and a Royal Society Wolfson Research Merit award. He is also an elected Fellow of the Institute of Physics. In 2019, Hussey received an ERC Advanced grant.
In this colloquium, I will discuss the profound implications of these correlations, along with a number of other simple observations linking the (magneto) transport properties of cuprates with their corresponding superconducting properties.
2023-10-26 20:00:00
Online
Digital Technology, Gender, and Environmental Behavior
20:00-21:00
Talk & Lecture
5
2816028
/english/2023/1023/c19936a2816028/page.psp
2023-10-23
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Speaker: LIU Qigui, Zhedong Chair Professor in Finance at Ningbo UniversityVenue: Room 215/217, ZIBS Building, Haining Campus
Prof. LIU Qigui has had extensive research experience in finance and related areas. Over the past few years, he has published 30 papers in reputable finance, accounting and economics journals.
2023-10-23 20:00:00
Room 215/217, ZIBS Building, Haining Campus
Photoenzymatic Catalysis - Using Light to Reveal New Enzyme Functions
15:30
Talk & Lecture
6
2813116
/english/2023/1016/c19936a2813116/page.psp
2023-10-16
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Speaker: Prof. Todd Hyster (Princeton University)Inviter: Prof. JI Pengfei (Zhejiang University)Venue: C225, Building 5, Haina Court, Zijingang Campus
ln this talk, I will share my groups efforts to use light to expand the reactivity profile of enzymes.
2023-10-25 15:30:00
C225, Building 5, Haina Court, Zijingang Campus
Intersection cohomology in combinatorics
16:15-17:15
Talk & Lecture
7
2813140
/english/2023/1016/c19936a2813140/page.psp
2023-10-16
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Venue: Room 210, Building 2, Haina Court, Zijingang CampusSpeaker: Prof. WANG Buotuo (University of Wisconsin–Madison)Abstract: Many important posets (partially ordered sets) in combinatorics have algebriac interpretations. We will go over three families of examples: toric varieties, Schubert varieties and matroid Schubert varieties. We will discuss how to translate some of the combinatorical invariants into the geometric ones, and the application of intersection cohomology groups in solving combinatorical problems.
We will discuss how to translate some of the combinatorical invariants into the geometric ones, and the application of intersection cohomology groups in solving combinatorical problems.
2023-10-17 16:15:00
Room 210, Building R 2, Haina Court, Zijingang Campus
Efficient Preconditioning for Discontinuous Galerkin Method with Reconstructed Discontinuous Approximation
16:00
Talk & Lecture
8
2813131
/english/2023/1016/c19936a2813131/page.psp
2023-10-16
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Speaker: Dr. LIU Qicheng (Peking University)Venue: Room 101, Building 2, Haina Court, Zijingang CampusAbstract: In this talk, I will introduce the reconstructed discontinuous approximation (RDA) method for solving second-order elliptic problem with an efficient preconditioner. The RDA method uses a reconstructed high-order approximation space which is constructed by solving a local constrained least squares problem. One attractive feature for the reconstructed space is that it has only one degree of freedom per element. This space can be directly used with the symmetric/nonsymmetric interior penalty discontinuous Galerkin method. Further, an efficient preconditioner can be constructed from the piecewise constant space. The upper bound of the condition number to the preconditioned symmetric/nonsymmetric system is shown to be independent of the mesh size. Numerical experiments are provided to demonstrate the validity of the theory and the efficiency of the proposed method.Contact person: Prof. ZHANG Qinghai (0015089@zju.edu.cn)
In this talk, I will introduce the reconstructed discontinuous approximation (RDA) method for solving second-order elliptic problem with an efficient preconditioner.
2023-10-17 16:00:00
Room 101, Building 2, Haina Court, Zijingang Campus
A Brief History of Korean Mathematics
15:00-16:00
Talk & Lecture
9
2808868
/english/2023/1005/c19936a2808868/page.psp
2023-10-05
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Speaker: Dohan Kim (Seoul National University, Korea)Venue: Room 105, Building 2, Haina Court, Zijingang CampusAbstract: 1) From Almost Nothing to Fields Medal;2) Academic Exchange between China and Korea in Mathematics.Contact person: Junde Wu (wjd@zju.edu.cn)Curriculum vitae of speaker:1) PersonalBirth Date: May 15, 1950.2) EducationB.S. in Electronics Engineering, Seoul National University, 1972M.S. in Mathematics, Seoul National University, 1974Ph. D. in Mathematics, Rutgers University (Thesis Adviser, F. Treves), 19813) Experience in Seoul National UniversityProfessor, 1992~Chairman, Department of Mathematics, 2003~ 2005Deputy Director & Director, BK21 Mathematical Science Division SNU, 1999~20064) Professional Organization Korean Mathematical SocietyVice President 1997~ 2006President, 2007~ 20105) National Academy of Science, Republic of KoreaMember, since 2016Chair, Division I of Science, 2018~ 20196) Korean Academy of Science and TechnologyMember, since 2006Chair, Division of Science, 2016~2019Chair, Prize Committee, since 20197) International Congress of Mathematicians, Seoul 20142011~2014 Chair, Advisory Committee, Organizing Committee for 2014 ICM at Seoul2013 Chair, Organizing Committee, AMC 2013 (Asian Mathematical Conference) at Busan8) Area of SpecializationDistributions and HyperfunctionsFourier AnalysisLinear Partial Differential EquationsOrdinary Differential Equations
The lecture will be centerd on these two aspects: from almost nothing to fields medal, and academic exchange between China and Korea in mathematics.
2023-10-13 15:00:00
Room 105, Building 2, Haina Court, Zijingang Campus