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Representation theory and geometry – Geordie Williamson (ICM2018) [video]
- espeed 8y agoHere is a link to the corresponding SIGMA 2018 paper and a link to the video shown at the end of the talk, which shows an animation illustrating the conjectures in the paper. An animation illustrating the conjectures [video] https://www.youtube.com/watch?v=Ru0Zys1Vvq4 https://www.youtube.com/watch?v=Ru0Zys1Vvq4 The Intro begins... These conjectures resulted from our attempts to understand data obtained following a 9 month calculation in magma on a supercomputer at the MPIM in Bonn. These results go far beyond existing calculations and are obtained using a new algorithm. The algorithm relies in an essential way on ideas of Libedinsky, Riche and the second author. The behaviour we observe appears highly non-trivial, which suggests that proving anything might be difficult. Billiards and Tilting Characters for SL3 [pdf] http://emis.ams.org/journals/SIGMA/2018/015/sigma18-015.pdf http://emis.ams.org/journals/SIGMA/2018/015/sigma18-015.pdf