WoG 2024 Talk 3.1: Pravin Kumar - Brunnian planar braid groups and Brunnian doodles
Speaker: Pravin Kumar
Institution: IISER Mohali
Title: Brunnian planar braid groups and Brunnian doodles
Abstract: Twin groups are planar analogues of Artin braid groups and play a crucial role in the Alexander-Markov correspondence for the theory of doodles, which is the isotopy classes of immersed circles on the 2-sphere without triple and higher intersections. These groups can be represented diagrammatically, with maps obtained by adding and removing strands. In this talk, we will explore Brunnian twin groups, which are subgroups of twin groups consisting of twins that become trivial when any of their strands are deleted, and a Brunnian doodle on the 2-sphere. We will also discuss some generalizations of Brunnian twins, namely, k-decomposable twins and Cohen twins.
Видео WoG 2024 Talk 3.1: Pravin Kumar - Brunnian planar braid groups and Brunnian doodles канала World of GroupCraft
Institution: IISER Mohali
Title: Brunnian planar braid groups and Brunnian doodles
Abstract: Twin groups are planar analogues of Artin braid groups and play a crucial role in the Alexander-Markov correspondence for the theory of doodles, which is the isotopy classes of immersed circles on the 2-sphere without triple and higher intersections. These groups can be represented diagrammatically, with maps obtained by adding and removing strands. In this talk, we will explore Brunnian twin groups, which are subgroups of twin groups consisting of twins that become trivial when any of their strands are deleted, and a Brunnian doodle on the 2-sphere. We will also discuss some generalizations of Brunnian twins, namely, k-decomposable twins and Cohen twins.
Видео WoG 2024 Talk 3.1: Pravin Kumar - Brunnian planar braid groups and Brunnian doodles канала World of GroupCraft
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10 сентября 2024 г. 19:58:58
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