motivic seminar

Time: Wednesdays 5:00pm-7:00pm
Location: Lunt 107 (5pm-6pm), Lunt 105 (6pm-7pm)
Remark: We started on Jan 5 and the final talk was on March 11.

Talks:

1. introduction (Viktor Burghardt)
2. the (un)stable motivic homotopy categories (Stephan Snegirov)
references: [1][2][3][4][5]
3. The motivic Adams Spectral Sequence (Eva Belmont)
references: [14][15]
4. Refinded enumerative geometry (Catherine Ray)
references: [13][2]
5. motivic cohomology and Voevodsky motives (Carlos Cortez)
references: [3][7][11][21][22][23]
6. Voevodsky's slice filtration (Eivind Hjelle; notes)
references: [6][7][8][9][10][11][12]
7. any further talks canceled due to COVID-19

Future topics:

• The Bloch-Kato conjecture, aka the norm residue isomorphism theorem ([16][17])
• MGL, algebraic cobordism ([1][18][19])
• The zero-line of the stable homotopy groups of the motivic sphere and MW-K-theory ([1][20])
• Milnor-Witt cohomology, MW-motives ([11][24][25][26][27])
• The motivic Atiyah-Hirzebruch Spectral Sequence ([28][29][30][8])
• The motivic Steenrod algebra ([22][31][32])
• Motivic infinite loop space theory ([33][34])
• Classical stable theory embeds into motivic stable theory ([35][36])
• A1-homotopy classification of vector bundles, principal bundles, homogeneous spaces ([20][37][38][39])
• (shifted) connectivity theorems ([40][41][42][43])
• Motivic and real étale stable homotopy theory ([44])
• Framed correspondences ([45][46][47])
• ...

References: