MAT 401: Undergraduate Seminar


Date  Topic  Read  Homework 
8/28, Tu  Course overview and introduction  Chapter 1  #1 
8/30, Th  
9/4, Tu  Discussion of exercises  
9/6, Th  Plane curves and projective spaces  Chapter 2  #2 
9/11, Tu  Enumerative geometry of plane curves  
9/13, Th  Discussion: plane conics  
9/18, Tu  Overview of topology  pp4350  #3 
9/20, Th  Overview of manifolds  pp5164  
9/25, Tu  Discussion: topology  
9/27, Th  Young tableaux and enumerative geometry by Aaron Bertram (University of Utah)  
10/2, Tu  Discussion: proof of Bezoit's Theorem  
10/4, Th  Transverse intersections  pp6488  #4 
10/9, Th  Fall Break  
10/11, Th  Orientations and boundaries of manifolds  
10/16, Tu  Intersection theory  
10/18, Th  
10/23, Tu  Discussion: Grassmannians of twoplanes  
10/25, Th  
10/30, Tu  
11/1, Th  Line bundles  pp8892 Chapter 7 Notes on Vector Bundles 
#5 
11/6, Tu  Operations on line bundles  
11/8, Th  Vector bundles  
11/13, Tu  Operations on bundles and applications  
11/15, Th  Overview of vector bundles  
11/20, Tu  Discussion: lines in projective spaces  
11/27, Tu  
11/29, Th  A classical problem  #6  
12/4, Tu  Discussion: Kontsevich's recursion for plane rational curves  
12/6, Th  Analogue of Kontsevich's recursion for real curves by Xujia Chen (Stony Brook) 