Date:
Mon, 17/04/202314:30-16:00
Location:
Ross 70 and Zoom
Zoom link
https://huji.zoom.us/j/84721203396?pwd=dWkyVTk0WDhlWlBOdVgxR04rKzM1UT09
Meeting ID: 847 2120 3396
Passcode: 189975
Link to recordings:
https://huji.cloud.panopto.eu/Panopto/Pages/Sessions/List.aspx?folderID=39fd71c4-753c-4a1a-a955-aeb500acd432
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"Semi-orthogonal decompositions of moduli spaces"
Abstract: Let C be a smooth projective curve of genus at least 2 and let N be the moduli space of stable rank 2 vector bundles on C of with fixed odd determinant. We construct a semi-orthogonal decomposition of the bounded derived category of N conjectured by Narasimhan and by Belmans, Galkin and Mukhopadhyay. It has two blocks for each i-th symmetric power of C for i = 0,...,g−2 and one block for the (g − 1)-st symmetric power.
The proof contains two parts. Semi-orthogonality, proved jointly with Sebastian Torres, relies on hard vanishing theorems for vector bundles on the moduli space of stable pairs. The second part, elimination of the phantom, requires analysis of ``weaving patterns'’ in derived categories.
https://huji.zoom.us/j/84721203396?pwd=dWkyVTk0WDhlWlBOdVgxR04rKzM1UT09
Meeting ID: 847 2120 3396
Passcode: 189975
Link to recordings:
https://huji.cloud.panopto.eu/Panopto/Pages/Sessions/List.aspx?folderID=39fd71c4-753c-4a1a-a955-aeb500acd432
-------------------------------------------------------------------------------------------------------------
"Semi-orthogonal decompositions of moduli spaces"
Abstract: Let C be a smooth projective curve of genus at least 2 and let N be the moduli space of stable rank 2 vector bundles on C of with fixed odd determinant. We construct a semi-orthogonal decomposition of the bounded derived category of N conjectured by Narasimhan and by Belmans, Galkin and Mukhopadhyay. It has two blocks for each i-th symmetric power of C for i = 0,...,g−2 and one block for the (g − 1)-st symmetric power.
The proof contains two parts. Semi-orthogonality, proved jointly with Sebastian Torres, relies on hard vanishing theorems for vector bundles on the moduli space of stable pairs. The second part, elimination of the phantom, requires analysis of ``weaving patterns'’ in derived categories.