Professor Hiraku Nakajima (Kavli, IMPU, The University of Tokyo)

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# Frontiers of Mathematics Lectures

## Frontiers of Mathematics Lecture – S-dual of Hamiltonian G spaces and relative Langlands duality

## Frontiers of Mathematics Lecture – The Salesman and the Postman: Frontiers and Gateways in Combinatorial Optimization

## Frontiers of Mathematics Lecture – Waving, rotating, buckling: fluid dynamics of filaments at the microscale

## Frontiers of Mathematics Lecture – Hecke algebras, residues and spectral decomposition

## New Solution of the Golovin-Krause Conjecture

## Joint Moments

## Mass transport, Kantorovich operators and their ergodic properties

## On the global stability of large Fourier mode for 3-D Navier-Stokes equations

## Fundamental lemma and Arithmetic Fundamental lemma for the whole spherical Hecke algebra

## The Grorthendieck group of unipotent representations; a new basis

## From Coxeter-Conway friezes to cluster algebras

## Kähler-Einstein metric, K-stability and moduli spaces

## A number theorist’s adventures in the land of spectral theory

## Geometry and Arithmetic of Sphere Packings

## Characteristic Polynomials of Random Unitary Matrices, Partition Sums, and Painlevé Equations [Cancelled]

## Infinite dimensional algebras and superalgebras

## The Central Limit Theorem in Algebra and Number Theory

## What we know about transcendental numbers and what we would like to know

## Why does Ramanujan, “The Man Who Knew Infinity”, matter?

## Trigonometric Integrals and the Riemann Zeta Function

## Potential Singularity Formation of the 3D Euler Equations and Related Models

## Methods of Rational Curves and Pluricanonical Bundles in Complex Geometry

## Discontinuous Galerkin Method for Convection Dominated Partial Differential Equations

## Positivity of Vector Bundles and Hodge Theory

## Everything Old is New Again: The Return of Gradient Based Optimization Methods

Institute of Mathematical Research

Department of Mathematics, The University of Hong Kong

Professor Hiraku Nakajima (Kavli, IMPU, The University of Tokyo)

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Professor András Sebö (CNRS, Laboratoire G-SCOP, University of Grenoble, France)

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Professor Lisa Fauci (Pendergraft Nola Lee Haynes Professor, Tulane University)

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Professor Dr. Eric Opdam (University of Amsterdam)

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Professor Ding-Zhu Du (University of Texas at Dallas)

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Professor Jon Keating (Sedleian Professor of Natural Philosophy, University of Oxford)

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Professor Nassif Ghoussoub (Department of Mathematics, The University of British Columbia)

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Professor Ping ZHANG (Academy of Mathematics and Systems Science, Chinese Academy of Sciences)

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Professor Michael Rapoport (University of Bonn)

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Professor George Lusztig (Massachusetts Institute of Technology)

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Professor Bernhard Keller (Université Paris Cité)

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Professor Chenyang Xu (Department of Mathematics, Princeton University)

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Professor Zeev Rudnick (Tel-Aviv University, Israel)

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Professor Alex Kontorovich (Rutgers University, USA)

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Professor Jon Keating (Sedleian Professor of Natural Philosophy, U of Oxford, UK)

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Professor Efim Zelmanov (R. Atkinson Chair Professorship, U of California, San Diego, USA )

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Professor M. Ram Murty, FRSC (Queen’s Research Chair & Distinguished University Professor, Queen’s U, Canada )

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Professor Gisbert Wüstholz (Professor Emeritus, Federal Institute of Technology (ETH), Zurich, Switzerland)

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Professor Ken Ono (Asa Griggs Candler Professor of Mathematics at Emory University; Vice President of the American Mathematical Society)

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Professor Yitang Zhang (University of California Santa Barbara, USA)

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Professor Thomas Y. Hou (Charles Lee Powell Professor of Applied & Computational Mathematics, Department of Computing and Mathematical Sciences, California Institute of Technology, USA)

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Professor Yum-Tong Siu (William Elwood Byerly Professor, Harvard University, USA; Member, National Academy of Sciences of the United States; Foreign Member, Chinese Academy of Sciences)

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Professor Chi-Wang Shu (Theodore B. Stowell University Professor, Division of Applied Mathematics, Brown U, USA)

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Professor Phillip A. Griffiths (Institute for Advanced Study (IAS), Princeton, USA; Member, National Academy of Sciences of the United States)

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