Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, November 10, 2020.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Tuesday, November 10, 2020

11:00 am in via Zoom,Tuesday, November 10, 2020

#### R-motivic homotopy theory and the Mahowald invariant

###### Eva Belmont (Northwestern)

Abstract: Abstract: The Mahowald invariant is a highly nontrivial map (with indeterminacy) from the homotopy groups of spheres to itself, with deep connections to chromatic homotopy theory. In this talk I will discuss a variant of the Mahowald invariant that can be computed using knowledge of the R-motivic stable homotopy groups of spheres, and discuss its comparison to the classical Mahowald invariant. This is joint work with Dan Isaksen.

Please email Jeremiah Heller for Zoom info (jbheller@illinois.edu)

2:00 pm in Zoom,Tuesday, November 10, 2020

#### Stability from symmetrisation arguments

###### Oleg Pikhurko (University of Warwick)

Abstract: We present a sufficient condition for the stability property of extremal graph problems that can be solved via Zykov's symmetrisation. Our criterion is stated in terms of a limit version of the problem. We present some of its application to the inducibility problem where one maximises the number of induced copies of a given complete partite graph $F$ in an $n$-vertex graph.

This is joint work with Hong Liu, Maryam Sharifzadeh and Katherine Staden.