Main Page/Reading Seminar Deformation Theory (Summer 2025): Difference between revisions
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We are meeting online for the summer. (For accessibility reasons, perhaps we should record talks). | We are meeting online for the summer. (For accessibility reasons, perhaps we should record talks). | ||
Meetings are Thursdays 2pm-3pm on Zoom. | |||
==Tentative schedule== | ==Tentative schedule== | ||
{| cellpadding="8" | {| cellpadding="8" | ||
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! align="left" |topics | ! align="left" |topics | ||
|- | |- | ||
| | |06/12/2025 | ||
| | |Dima | ||
| | |Introduction To Deformation Theory | ||
| | |First order deformations, first order deformations of Grassmannians, and first order deformations of the Hilbert scheme | ||
|- | |- | ||
| | |06/19/2025 | ||
| | |Dima | ||
| | |Introduction to Deformation Theory Part II | ||
| | |Higher order deformations, deformation theory, deformation of modules, how to view D(k[e]/(e^2)) as a k-vector space via the functor of points | ||
|- | |- | ||
| | |06/26/2025 | ||
| | |Dima | ||
| | | | ||
| | | | ||
|- | |- | ||
| | |07/03/2025 | ||
| | |Break! | ||
| | |No Talk For This Week! | ||
| | |Enjoy the Holidays! | ||
|- | |- | ||
| | |07/10/2025 | ||
| | |Jeremy | ||
| | |Tangent-Obstruction Theories and Smoothness | ||
| | |Infinitesimal lifting property for smooth affines, tangent-obstruction theories, examples | ||
Slides: [[File:Tangent-Obstruction Slides.pdf|thumb]] | |||
|- | |- | ||
| | |07/31/2025 | ||
| | |Kevin | ||
| | |Schlessinger's Criterion | ||
| | |[[File:SlidesSchlessinger'sCriterion.pdf|thumb]] | ||
|- | |- | ||
| | |08/07/2025 | ||
| | |Hairuo | ||
| | |Cotangent Complex | ||
| | |[[File:CotangentComplexSlidesHairuo.pdf|thumb]] | ||
|- | |- | ||
| | |08/14/2025 | ||
| | |(?) Hairuo | ||
| | |Deformations of Calabi-Yau Varieties | ||
| | | | ||
|- | |- | ||
| Line 60: | Line 63: | ||
==References== | ==References== | ||
If you have other suggestions, please share (or just add to this list!). | If you have other suggestions, please share (or just add to this list!). | ||
#Henry Liu's notes for [https://member.ipmu.jp/henry.liu/notes/f17-algebraic-geometry.pdf Daniel Litt's course on Deformation Theory] | |||
#Artin's [https://people.math.umass.edu/~hacking/seminarF12/artin.pdf Lectures on Deformations of Singularities] | #Artin's [https://people.math.umass.edu/~hacking/seminarF12/artin.pdf Lectures on Deformations of Singularities] | ||
#Hartshorne's "Deformation Theory" | #Hartshorne's "Deformation Theory" | ||
Latest revision as of 01:00, 10 August 2025
We are meeting online for the summer. (For accessibility reasons, perhaps we should record talks).
Meetings are Thursdays 2pm-3pm on Zoom.
Tentative schedule
| date | speaker | title | topics |
|---|---|---|---|
| 06/12/2025 | Dima | Introduction To Deformation Theory | First order deformations, first order deformations of Grassmannians, and first order deformations of the Hilbert scheme |
| 06/19/2025 | Dima | Introduction to Deformation Theory Part II | Higher order deformations, deformation theory, deformation of modules, how to view D(k[e]/(e^2)) as a k-vector space via the functor of points |
| 06/26/2025 | Dima | ||
| 07/03/2025 | Break! | No Talk For This Week! | Enjoy the Holidays! |
| 07/10/2025 | Jeremy | Tangent-Obstruction Theories and Smoothness | Infinitesimal lifting property for smooth affines, tangent-obstruction theories, examples |
| 07/31/2025 | Kevin | Schlessinger's Criterion | File:SlidesSchlessinger'sCriterion.pdf |
| 08/07/2025 | Hairuo | Cotangent Complex | File:CotangentComplexSlidesHairuo.pdf |
| 08/14/2025 | (?) Hairuo | Deformations of Calabi-Yau Varieties | |
References
If you have other suggestions, please share (or just add to this list!).
- Henry Liu's notes for Daniel Litt's course on Deformation Theory
- Artin's Lectures on Deformations of Singularities
- Hartshorne's "Deformation Theory"