Betti numbers in algebra and homotopy theory – Programme

All talks will be given in lecture hall H10 of the main building. Registration will be just in front of it. Coffee breaks take place in room M4-112. For the discussions, we have rooms V2-210, V2-216, and V2-135. Campus maps can be found here.

Monday 23 September

9:00–9:30Registration
9:30–10:30Eloísa Grifo (Lincoln)
Bounding betti numbers in commutative algebra
Coffee break
11:15–12:15Petter Andreas Bergh (Trondheim)
Complexes with small homology over finite tensor categories
Lunch break
13:30–14:30John Greenlees (Warwick)
Chromatic Smith theory and Balmer spectra of equivariant cohomology theories (after Smith, Floyd, Smith, Kuhn-Lloyd)
14:30–15:30Discussion
Coffee break
16:15–17:15Discussion

Tuesday 24 September

9:30–10:30William Balderrama (Charlottesville)
Degrees of stable maps between compactifications of fixed point free representations of cyclic $p$-groups
Coffee break
11:15–12:15Luchezar Avramov (Sofia)
Unpacking Betti tables
Lunch break
13:30–14:30Natàlia Castellana (Barcelona)
Stratification in equivariant homotopy theory via geometric fixed points
14:30–15:30Discussion
Coffee break
16:15–17:15Discussion

Wednesday 25 September

9:30–10:30Srikanth Iyengar (Salt Lake City)
Modules of finite length and finite projective dimension
Coffee break
11:15–12:15Clover May (Trondheim)
Representations of Mackey functors and Eilenberg--MacLane spectra
Lunch break
13:30–14:30Jeremiah Heller (Urbana-Champaign)
Equivariant motivic cohomology over C
14:30–15:30Discussion
Coffee break
16:15–17:15Discussion

Thursday 26 September

9:30–10:30Ben Briggs (London)
Free loop spaces and the growth of Hochschild homology, or better, cotangent homology
Coffee break
11:15–12:15Leopold Zoller (Cologne)
On equivariant notions of formality
Lunch break
13:30–14:30Alejandro Adem (Vancouver)
Minimal Euler Characteristics for Even-Dimensional Manifolds with A Given Fundamental Group
14:30–15:30Keller VandeBogert (Notre Dame)
The Total Rank Conjecture in Characteristic Two
Coffee break
16:15–17:15Discussion
18:30–Dinner at Café Restaurant im Bürgerpark located at Wertherstraße 88, 33615 Bielefeld

Friday 27 September

9:30–10:30Janina Letz (Bielefeld)
Koszul homomorphisms and universal resolutions in local algebra
Coffee break
11:15–12:15Jesper Grodal (Copenhagen)
Homotopical degree of symmetry
Lunch break
13:30–14:30Berrin Şentürk (Ankara)
An algebraic approach to rank conjecture and examples of small rank
14:30–16:30Closing discussions