Main Source: Fulton's Intersection Theory
Main Source: Fulton's Intersection Theory
Prospective Papers for Seminar:
Rational Points on Grassmannians and Unlikely Intersections in Tori by L. Capuano, D. Masser, J. Pila, and U. Zannier
Effective Transcendetal Zilber-Pink for Variations of Hodge Structures by J. Pila and T. Scanlon
Subject to suggestions by participants!
Topic: Rational Equivalence (Fulton Chapter 1)
Exercises: Work out the details of examples 1.6.2, 1.10.2
Speaker: Kate
Topic: Divisors (Fulton Chapter 2)
Exercises: Work out the details of examples 2.3.1, 2.5.4, 2.6.2
Speaker: Annie
Topic: Vector Bundles and Chern Classes (Fulton Chapter 3)
Exercises: Work out the details of examples 3.3.1, 3.3.2
Speaker: Zecheng
Topic: Cones and Segre Class (Fulton Chapter 4)
Exercises: TBD
Speaker: Xinyu
Topic: Historical Context - The Overarching Narrative
Exercises: TBD
Speaker: Annie
Topic: Concrete Examples!
Exercises: TBD
Speaker: Sid
Topic: Concrete Examples! (Continued)
Exercises: TBD
Speaker: Sid
Topic: Deformation to Normal Cones (Fulton Chapter 5)
Exercises: TBD
Speaker: Annie
Topic: Thanksgiving break!
Exercises: Rest
Speaker: Nobody
Topic: Grothendieck-Riemann-Roch by Deformation to the Normal Cone
Exercises:
Speaker: Sid
Topic: Grothendieck-Riemann-Roch
Exercises: TBD
Speaker: TBD