Symplectic topology of K3 surfaces via mirror symmetry
Duration: 1 hour 3 mins
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About this item
| Description: |
Smith, I
Friday 18th August 2017 - 16:00 to 17:00 |
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| Created: | 2017-08-21 09:04 |
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| Collection: | Symplectic geometry - celebrating the work of Simon Donaldson |
| Publisher: | Isaac Newton Institute |
| Copyright: | Smith, I |
| Language: | eng (English) |
| Abstract: | Co-Author: Nick Sheridan (Princeton & Cambridge)
We prove that there are symplectic K3 surfaces for which the Torelli group, of symplectic mapping classes acting trivially on cohomology, is infinitely generated. The proof combines homological mirror symmetry for Greene-Plesser mirror pairs with results of Bayer and Bridgeland on autoequivalence groups of derived categories of K3 surfaces. Related ideas in mirror symmetry yield a new symplectic viewpoint on Kuznetsov's K3-category of a cubic fourfold. |
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