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DTSTART;TZID=America/New_York:20190205T150000
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UID:10000106-1549378800-1560097800@cmsa.fas.harvard.edu
SUMMARY:Special Lecture Series on Derived Algebraic/Differential Geometry
DESCRIPTION:In the Spring 2019 Semester\, the CMSA will be hosting a special lecture series on Derived algebraic/differential geometry run by Artan Sheshmani\, with lectures given by Prof. Sheshmani and Dr. Dennis Borisov. The seminar will be held on Tuesdays and Thursdays from 3:00-4:30pm in CMSA\, room G10. \n \n\nClick here for reference material \nClick here for a syllabus \nSchedule:\nSection 1: Basic setting of derived geometry \nThe goal: To collect the minimum set of tools needed to do algebraic geometry in the derived context. \n\n\n\n2/05/2019\nLecture 1: Model and с-categories\nVideo\n\n\n2/07/2019\nLecture 2: Grothendieck topologies and homotopy descent\nVideo\n\n\n2/12/2019\nLecture 3: Derived Artin stacks\nVideo \n\n\n2/14/2019\nLecture 4: Cotangent complexes\n\n\n\n\nSection 2: Loop spaces and differential forms \nThe goal: This is the algebraic heart of the course – here we learn the homological techniques that are needed for shifted symplectic forms. \n\n\n\n2/19/2019\nLecture 5: De Rham complexes and S1-equivariant schemes (loop spaces)\nVideo\n\n\n2/21/2019\nLecture 6: Chern character\nVideo\n\n\n2/26/2019 \nRoom G02\nLecture 7: Local structure of closed differential forms in the derived sense Part I\nVideo\n\n\n2/28/2019\nLecture 8: Local structure of closed differential forms in the derived sense Part II\nVideo\n\n\n3/05/2019\nLecture 9: Cyclic homology\nVideo\n\n\n\nSection 3: Shifted symplectic structures\nGoal: To see applications of the algebraic techniques from above in the geometric context of the actual moduli spaces. \n\n\n\n3/07/2019\nLecture 10: Definition and existence results\nVideo\n\n\n3/12/2019\nLecture 11: Lagrangians and Lagrangian fibrations\nVideo\n\n\n3/14/2019 \nRoom G02\nLecture 12: Lagrangians and Lagrangian fibrations\nVideo\n\n\n3/26/2019\nLecture 13: Intersections of Lagrangians\nVideo\n\n\n3/28/2019 \nRoom G02\nLecture 14: Examples and applications 2 (Part I)\nVideo\n\n\n4/02/2019\nLecture 15: Examples and applications 2 (Part II)\nVideo\n\n\n\nSection 4: Uhlenbeck–Yau construction and correspondence\n \n\n\n\n4/04/2019\nLecture 16: Examples and applications 2 (Part III)\nVideo\n\n\n4/09/2019 \nRoom G02\nLecture 17: Uhlenbeck–Yau construction and correspondence Examples (Part I)\nVideo\n\n\n\n\n\n\nColloquia & Seminars\,Events\,Seminars
URL:https://cmsa.fas.harvard.edu/event/special-lecture-series-on-derived-algebraic-differential-geometry/
LOCATION:MA
CATEGORIES:Special Seminar
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DTSTART;TZID=America/New_York:20190426T143000
DTEND;TZID=America/New_York:20200426T153000
DTSTAMP:20260630T173217
CREATED:20240212T100818Z
LAST-MODIFIED:20240221T092817Z
UID:10001958-1556289000-1587915000@cmsa.fas.harvard.edu
SUMMARY:4/26/2019 General Relativity Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-26-2019-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
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