Instructors: John Voight

Course on Canvas: https://canvas.dartmouth.edu/courses/44283

Syllabus

Date Details Due
Fri Jan 8, 2021 (No class: JMM and Simons) 2:35pm to 3:40pm
Mon Jan 11, 2021 Introduction 2:35pm to 3:40pm
Wed Jan 13, 2021 Introduction, affine algebraic sets, Nullstellensatz 2:35pm to 3:40pm
Thu Jan 14, 2021 Office hour 1:40pm to 2:30pm
Fri Jan 15, 2021 Affine varieties 2:35pm to 3:40pm
Wed Jan 20, 2021 Regular maps 2:35pm to 3:40pm
Thu Jan 21, 2021 Office hour 1:40pm to 2:30pm
Fri Jan 22, 2021 Morphisms 2:35pm to 3:40pm
Mon Jan 25, 2021 Products, Linear and affine algebraic groups 2:35pm to 3:40pm
Wed Jan 27, 2021 Check-in 2:35pm to 3:40pm
Thu Jan 28, 2021 Office hour 1:40pm to 2:30pm
Fri Jan 29, 2021 Subgroups, identity component 2:35pm to 3:40pm
Mon Feb 1, 2021 Subgroups 2:35pm to 3:40pm
Wed Feb 3, 2021 Check-in 2:35pm to 3:40pm
Thu Feb 4, 2021 Office hour 1:40pm to 2:30pm
Fri Feb 5, 2021 Group actions 2:35pm to 3:40pm
Mon Feb 8, 2021 Linearization 2:35pm to 3:40pm
Wed Feb 10, 2021 Check-in 2:35pm to 3:40pm
Thu Feb 11, 2021 Office hour 1:40pm to 2:30pm
Fri Feb 12, 2021 Tangent spaces 2:35pm to 3:40pm
Mon Feb 15, 2021 Lie algebras 2:35pm to 3:40pm
Wed Feb 17, 2021 Lie algebra of an algebraic group, Check-in 2:35pm to 3:40pm
Thu Feb 18, 2021 Office hour 1:40pm to 2:30pm
Fri Feb 19, 2021 Knuggets 2:35pm to 3:40pm
Mon Feb 22, 2021 GL_n, Adjoint representation, Jordan decomposition 2:35pm to 3:40pm
Wed Feb 24, 2021 Commutative algebraic groups 2:35pm to 3:40pm
Thu Feb 25, 2021 Office hour 1:40pm to 2:30pm
Fri Feb 26, 2021 Diagonalizable groups and tori 2:35pm to 3:40pm
Mon Mar 1, 2021 Solvable groups 2:35pm to 3:40pm
Wed Mar 3, 2021 Reductive groups, Borel subgroups 2:35pm to 3:40pm
Fri Mar 5, 2021 Root systems 2:35pm to 3:40pm
Mon Mar 8, 2021 Classification 2:35pm to 3:40pm
Wed Mar 10, 2021 Lie correspondence, Wrap-up 2:35pm to 3:40pm