Courses and Events for Math Students and Early Career Researchers in China

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1
Geometric PDE and Applications to Problems in Conformal and CR Geometry
16 May 2021 - 21 May 2021 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Conformal geometry is the study of properties of spaces and mappings which depend on the measurement of angles but not of lengths. An example is the stereographic projection mapping from a sphere to a plane, which distorts lengths but preserves angles. Mathematicians have made much progress in recent years in the study of conformal geometry by using and developing new tools and methods from a variety of mathematical fields, including analysis, non-linear PDE and topology. This workshop will bring together experts from a variety of mathematical backgrounds with the goal of furthering our understanding of conformal geometry and its complex number analogue, CR geometry.
Event listing ID:
1364863
2
Phenomenology of Black Holes in Quantum Gravity
23 May 2021 - 28 May 2021 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
In this 5-day workshop, we shall bring the fields leaders, both theoretical and observational, together across the boundaries of several different fields, to discuss the important issues about black hole physics and gravitational wave astronomy in particular, and quantum field theory and quantum gravity in general. The workshop is very timely and important, and has been already received strong support from various leaders of the fields.
Event listing ID:
1364840
3
New Trends in Symbolic Dynamics and Ergodic Theory: Dynamical Obstructions arising from Complexity Theory
30 May 2021 - 04 Jun 2021 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
A common intuition in dynamical systems is that systems with low complexity should have some sort of structure, while systems with high complexity should exhibit more randomness. We explore this notion in various settings, particularly focussing on recent developments in ergodic theory and symbolic dynamics that are related to combinatorial, number theoretic, and algebraic problems. Fine properties of sequences of numbers can be studied via dynamics, relating the complexity of the sequence to hidden structures it contains. The proposed meeting will cover such recent evelopments, bringing together mathematicians from a variety of fields, including ergodic theory, symbolic dynamics, number theory, and group theory to discuss on long-standing open problems that have implications for these fields.
Event listing ID:
1364938
4
Geometry of Hyperkähler Varieties
05 Sep 2021 - 10 Sep 2021 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
The geometry of Hyperkahler varieties is certainly one of the most studied topics in Algebraic Geometry, with many connections to Representation Theory and Arithmetic Geometry. The aim of this workshop is to survey the recent developments in this area and to investigate the open problems and conjectures, by creating new collaborations between participants from different research fields.
Event listing ID:
1364915
Related subject(s):
5
New Frontiers in Proofs and Computation
12 Sep 2021 - 17 Sep 2021 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
This workshop is dedicated to Hao Wang, for his pioneering work in connecting human and formal thinking that permeates (O1)-(O3). A greater understanding of these topics will no doubt lead to a better understanding of computation in mathematics and computer science, and increase the prominence of mathematical logic and proof theory in China, Asia, and the world.
Event listing ID:
1364914
6
Subfactors, Vertex Operator Algebras, and Tensor Categories
19 Sep 2021 - 24 Sep 2021 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Subfactors and vertex operator algebras are mathematical structures that at first glance appear very different, but both are used in the mathematical study of quantum field theory. In particular, vertex operator algebras are algebraic structures arising in two-dimensional conformal field theory (CFT), a quantum field theory with applications ranging from string theory to condensed matter physics to quantum computing. On the other hand, subfactors are closely related to conformal nets, which are a functional-analytic approach to CFT. Because they are both mathematical descriptions the same quantum field theory, the theories of vertex operator algebras and conformal nets are widely believed to be equivalent, but only in the last few years has there been substantial progress in establishing an equivalence. As many important results in conformal field theory have been established for either vertex operator algebras or conformal nets, but not necessarily both, developing connections and equivalences will be useful for answering open questions in both mathematical formulations of CFT.
Event listing ID:
1364968
Related subject(s):
7
Interaction Between Partial Differential Equations and Convex Geometry
17 Oct 2021 - 22 Oct 2021 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Convex geometry and partial differential equations are two important mathematical branches. A constantly growing interaction between them in the last decades has resulted in significant progress in both areas. The goal is to solve questions in analysis, by combining the (affine) geometry of convex bodies and methods from partial differential equations, in particular, Monge-Ampere type equations. First major results include affine inequalities that are stronger than their Euclidean counterparts. Applications appear in information theory, probability theory and stochastic geometry.
Event listing ID:
1364945
8
Mathematical Methods in Cancer Biology, Evolution and Therapy
24 Oct 2021 - 29 Oct 2021 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Present day biology generates a wealth of data from which tumor biology and tumor evolution can be inferred, and therapeutic strategies can be developed. Most clinical (and research) samples are comprised of a mixture of different cells, including multiple different populations of cancer cells (‘subclones’) and a variety of normal cell types. Effective use of these data thus requires data from individual cell types to be deconvolved. A number of subfields are independently developing mathematical and statistical deconvolution techniques. While at first glance these subfields are largely disparate, there are clear opportunities for synergies to be developed. This workshop will fill this gap by bringing together researchers from several of these fragmented subfields across a wide range of backgrounds (computational biology, mathematics, statistics, computer science, biomedicine, etc.) to provide a synergistic forum for cross-disciplinary learning, discussion and collaboration.
Event listing ID:
1364977
9
Neostability Theory
31 Oct 2021 - 05 Nov 2021 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
Abstract:
Stability theory, in the sense of mathematical logic, consists of a collection of technical methods first developed to address the logical problem of classifying abstract models of mathematical theories. Stability theory has proven to be applicable to other mathematical problems such as understanding rational solutions of algebraic equations. It has recently been shown that the techniques and methods used for the classification described above can be used in much more general settings with applications to other areas of mathematics such as algebraic geometry, additive combinatorics and extremal graph theory. Researchers at this meeting will study these developments to deepen these applications, and to extend the scope of stability theory to an even wider range of mathematical theories.
Event listing ID:
1364921


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Last updated: 08 July 2020