SMRI Algebra and Geometry Online: Hellmann -- On the derived category of the Iwahori-Hecke algebra

'On the derived category of the Iwahori-Hecke algebra' 
Eugen Hellmann (University of Muenster) 

Monday 6 July 5:00pm - 6:30pm (AEST) 

Online via Zoom 

Abstract: In this talk I will state a conjecture which predicts that the derived
category of smooth representations of a p-adic split reductive group admits a fully
faithful embedding into the derived category of (quasi-)coherent sheaves on a stack of
L-parameters.  We will make the conjecture precise in the case of the principal block of
GL_n and relate it to the construction of a family of representations on the stack of
L-parameters that interpolates a modified version of the local Langlands
correspondence.  The existence of this family is suggested by the work of Helm and
Emerton-Helm.  I will explain why the derived tensor product with this "Emerton-Helm
family" should realize the expected embedding of derived categories and discuss some
explicit examples.  

Register here:
https://uni-sydney.zoom.us/meeting/register/tJAuc-ChpzMuG9b6uEaR_xsJudgB1POwNKkN 

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(Please email smri.admin@sydney.edu.au if you do not receive the email with the link 
~72 hours before the event)