Meetings/Workshops on Algebra in Singapore
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Higher Dimensional Algebraic Geometry, Holomorphic Dynamics and Their Interactions
03 Jan 2017 - 28 Jan 2017
Institute for Mathematical Sciences, Singapore , Singapore
In recent years we have seen great breakthroughs in the classification theory of higher dimensional compact algebraic varieties and complex manifolds. The seminal results are the proofs of finite generations of canonical rings of algebraic varieties by Caucher Birkar - Paolo Cascini - Christopher D. Hacon - James McKernan [BCHM06] using the algebraic method and Yum-Tong Siu [Siu08] using the analytic method. These results have profound influence on many areas of mathematics - including the study of higher dimensional dynamics and number theoretical dynamics. The interactions of algebraic geometry and the study of these dynamics is exactly the main theme of this program.
Genealogies of Interacting Particle Systems
17 Jul 2017 - 18 Aug 2017
Interacting particle systems are Markov chains involving infinitely many mutually interacting components. Apart from the obvious connection to statistical physics, since the conception of the field in the 1970s, interacting particle systems such as the well-known voter model and contact process have also been used to model biological populations. An alternative way of studying these biologically motivated systems is to determine the state of individuals living at a given time by tracing their ancestors, or potential ancestors, backwards in time. The collection of all (potential) ancestors with their relationships forms a random network that is called the genealogy of the interacting particle system. There is a close connection to real genealogies of biological populations and questions about the latter, such as what are the effects of population dynamic and evolutionary mechanisms on genealogical trees, continue to stimulate the development of more theoretical topics, such as the theor
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Last updated: 14 August 2016