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Upcoming Hot Topics Workshops

  1. Hot Topics: The Homological Conjectures

    Organizers: Bhargav Bhatt (University of Michigan), Srikanth Iyengar (University of Utah), Wieslawa Niziol (CNRS, ENS-Lyon), LEAD Anurag Singh (University of Utah)

    The homological conjectures in commutative algebra are a network of conjectures that have generated a tremendous amount of activity in the last 50 years. They had largely been resolved for commutative rings that contain a field, but, with the exception of some low dimensional cases, several remained open in mixed characteristic --- until recently, when Yves André announced a proof of Hochster's Direct Summand Conjecture. The progress comes from systematically applying Scholze's theory of perfectoid spaces, which had already shown its value by solving formidable problems in number theory and representation theory. One of the goals of the workshop is to cover the ingredients going into the proofs of the Direct Summand Conjecture.

    Updated on Jan 16, 2018 03:45 PM PST
  2. Hot Topics: Shape and Structure of Materials

    Organizers: Myfanwy Evans (TU Berlin), LEAD Frank Lutz (TU Berlin), Dmitriy Morozov (Lawrence Berkeley National Lab), James Sethian (University of California, Berkeley), Ileana Streinu (Smith College)
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    Tangled honeycomb networks | and the Advanced Light Source at LBNL

    The fascinating and complicated microstructures of materials that are now visible through advanced imaging techniques challenge the frontiers of characterisation and understanding. At the same time, developments in modern geometric and topological techniques are beginning to illuminate important features of material structures, while the microstructures themselves and the analysis and prediction of their macroscopic properties are inspiring new directions in pure and applied mathematics. In a collaboration with the Lawrence Berkeley National Laboratory (LBNL), this workshop aims at intensifying the interaction of mathematicians with material scientists, physicists and chemists on the structural description and design of materials.

    Updated on Feb 20, 2018 04:11 PM PST