Department of

# Mathematics

Seminar Calendar
for events the day of Monday, February 15, 2021.

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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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Monday, February 15, 2021

3:00 pm in Zoom,Monday, February 15, 2021

#### Spectral sequences and deformations of homotopy theories II

###### William Balderrama (UIUC)

Abstract: One of the oldest problems in stable homotopy theory is simple: just compute the stable homotopy groups of spheres. This turns out to be difficult, and a complete answer may never be known, but the computations continue. A recent technique being applied to great success can be summarized as: don't just compute the stable homotopy groups of the sphere spectrum, also compute the stable homotopy groups of other sphere spectra. These other sphere spectra include, for example, those arising in motivic and equivariant contexts, and can be thought of as deformations of the classical sphere spectrum. The homotopy theories they live in can then be thought of as deformations of classical stable homotopy theory. There are a few methods for building these deformations; the goal of this sequence of two talks is to describe the concrete approach to this deformation story using filtered objects. Please email vb8 at illinois dot edu for the zoom details.

5:00 pm in Altgeld Hall,Monday, February 15, 2021

#### organizational meeting

Abstract: Material in folder see you at https://illinois.zoom.us/j/87333719853?pwd=bFdWSkdqeEt1M3djNmVEU2Jvb3JzUT09 Meeting ID: 873 3371 9853 Password: 982399