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Towards the cohomology of SL_2(Z/p^n)

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  • UserAnja Meyer (University of Manchester)
  • ClockMonday 10 June 2024, 16:45-17:15
  • HouseExternal.

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TRHW01 - Workshop on topology, representation theory and higher structures

The cohomology of matrix groups with entries in fields or infinite rings is well studied. In this talk we will move to matrix entries in Z/pn for n>1 and study the mod p cohomology of the Sylow p-subgroups S_n of SL_2(Z/pn), presenting the results from my PhD thesis. In the first part of the talk we will explore important characteristics of S_n. Then we will fix p=3 and work through the computation of their mod 3 cohomology by using the Lyndon-Hochschild-Serre spectral sequence. Finally there will be a short discussion about how this fits into the computation of H*(SL_2(Z/pn),F_p).

This talk is part of the Isaac Newton Institute Seminar Series series.

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