Math 206 videos

Topics by date (with videos, references, and boards): See also this page for the videos embedded as iframes, or this playlist for all the videos together.

• March 29 (M): overview and motivation (video, boards, Miro live). References: my notes, section 1; Bhatt notes, lecture 1.
  
• March 31 (W): delta-rings (video, boards, Miro live). References: my notes, my notes, section 2; Bhatt notes, lecture 2.
  
• April 2 (F): Witt vectors (video, boards, Miro live). References: my notes, section 3.
  
• April 5 (M): lambda-rings (video, boards, Miro live). References: my notes, section 4.
  
• April 7 (W): prisms (video, boards, Miro live). References: my notes, section 5; Bhatt notes, lecture 3.
  
• April 9 (F): derived completeness (video, boards, Miro live). References: my notes, section 6.
  
• April 12 (M): perfect prisms (video, boards, Miro live). References: my notes, section 7; Bhatt notes, lecture IV.
  
• April 14 (W): lenses (video, boards, Miro live). References: my notes, section 8; Bhatt notes, lecture IV.
  
• April 16 (F): homotopy categories and derived categories (video, boards, Miro live). References: my notes, section 9 and section 10.
  
• April 19 (M): the prismatic site (video, boards, Miro live). References: my notes, section 11; Bhatt notes, lecture V.
  
• April 21 (W): the Hodge-Tate comparison map (video, boards, Miro live). References: my notes, section 12; Bhatt notes, lecture V.
  
• April 23 (F): double complexes (video, boards, Miro live). References: my notes, section 13.
  
• April 26 (M): Hodge-Tate for crystalline prisms (video, boards, Miro live). References: my notes, section 14; Bhatt notes, lecture V, lecture VI.
  
• April 28 (W): continuation (video, boards, Miro live).
  
• April 30 (F): proof of the Hodge-Tate comparison (video, boards, Miro live). References: my notes, section 15; Bhatt notes, lecture VI.
  
• May 3 (M): nonabelian derived functors (videos, , Miro live). References: my notes, section 16; Bhatt notes, lecture VII.
  
• May 5 (W): derived de Rham cohomology (video, boards, Miro live). References: my notes, section 17; Bhatt notes, lecture VII.
  
• May 7 (F): derived prismatic cohomology; coperfections in positive characteristic (video, boards, Miro live). References: my notes, section 18, section 19; Bhatt notes, lecture VII, lecture VIII.
  
• May 10 (M): coperfections in mixed characteristic (video, pdf, Miro live). References: my notes, section 19; Bhatt notes, lecture VIII.
  
• May 12 (W): the arc-topology and friends (video, pdf, Miro live). References: my notes, section 20.
  
• May 14 (F): descent for the arc-topology (video, boards, Miro live). References: my notes, section 21.
  
• May 17 (M): the étale comparison theorem (video, , Miro live). References: my notes, section 22; Bhatt notes, lecture IX.
  
• May 19 (W): applications of étale comparison (video, boards, Miro live). References: my notes, section 23.
  
• May 21 (F): almost purity (video, boards, Miro live). References: my notes, section 24.
  
• May 24 (M): almost purity (video, boards, Miro live). References: my notes, section 25.
  
• May 26 (W): q-de Rham cohomology (video, boards, Miro live). References: my notes, section 26; Bhatt notes, lecture X.
  
• May 28 (F): q-crystalline cohomology (video, boards, Miro live). References: my notes, section 27; Bhatt notes, lecture XI.
  
• June 2 (W): further developments (video, boards, Miro live). References: my notes, section 28.
  
• June 4 (F): some global speculation (video, boards, Miro live). References: my notes, section 29.