The Southwest Center for Arithmetic Geometry

Arizona Winter School 1998
Schedule

Unless otherwise noted, all activities will take place in Room 102 of the Center for English as a Second Language (CESL).

Friday, March 13

8:00-10:00 pm
Informal gathering (Olmec Room, Clarion Santa Rita Hotel)

Saturday, March 14

8:00-8:30
Registration, coffee
9:00-10:00
D. W. Masser, Universität Basel: "ABC - diophantine approximation aspects" -- Part I
10:00-10:15
Refreshments
10:15-11:15
Alexandru Buium, University of New Mexico: "Differential algebras and Diophantine geometry" -- Part I
11:30-12:30
Paul Vojta, University of California, Berkeley: "A more general abc conjecture" -- Part I
12:30-2:00
Lunch
2:00-3:00
Paul Vojta, University of California, Berkeley: "A more general abc conjecture" -- Part II
3:15-4:15
Barry Mazur, Harvard University: "Visible elements in the Shafarevich-Tate group"
4:15-4:30
Refreshments
4:30-5:45
Students (Mazur)
8:00-10:00
Q and A session (at Bill McCallum's house)

Sunday, March 15

8:30-9:00
Coffee
9:00-10:00
D. W. Masser, Universität Basel: "ABC - diophantine approximation aspects" -- Part II
10:00-10:15
Refreshments
10:15-11:15
Alexandru Buium, University of New Mexico: "Differential algebras and Diophantine geometry" -- Part II
11:30-12:30
Cathy Kessel, University of California, Berkeley: "Removing the discontinuity between high-school and college"
12:30-2:00
Lunch
2:00-3:00
Felipe Voloch, University of Texas, Austin: "The Brill-Segre formula and the abc conjecture" -- Part I
3:15-4:15
Felipe Voloch, University of Texas, Austin: "The Brill-Segre formula and the abc conjecture" -- Part II
4:15-4:30
Refreshments
4:30-5:45
Students (Voloch)
8:00-10:00
Q and A session (Olmec Room, Clarion Santa Rita Hotel)

Monday, March 16

8:30-9:00
Coffee
9:00-10:00
D. W. Masser, Universität Basel: "ABC - diophantine approximation aspects" -- Part III
10:00-10:15
Refreshments
10:15-11:15
Alexandru Buium, University of New Mexico: "Differential algebras and Diophantine geometry" -- Part III
11:30-12:30
Panel discussion on lower division courses
12:30-2:00
Lunch
2:00-3:00
Henri Darmon, McGill University: "Frey's method and hyperelliptic curves with real multiplication" -- Part I
3:15-4:15
Henri Darmon, McGill University: "Frey's method and hyperelliptic curves with real multiplication" -- Part II
4:15-4:30
Refreshments
4:30-5:45
Students (Darmon)
8:00-10:00
Q and A session (Olmec Room, Clarion Santa Rita Hotel)

Tuesday, March 17

8:30-9:00
Coffee
9:00-10:00
D. W. Masser, Universität Basel: "ABC - diophantine approximation aspects" -- Part IV
10:00-10:15
Refreshments
10:15-11:15
Alexandru Buium, University of New Mexico: "Differential algebras and Diophantine geometry" -- Part IV
11:30-12:30
Lucien Szpiro, Université de Paris-sud: "Some cases of the discriminant conjecture" -- Part I
12:30-2:00
Lunch
2:00-3:00
Kunrui Yu, Hong Kong University of Science and Technology: "p-adic logarithmic forms and group varieties"
3:15-4:15
Lucien Szpiro, Université de Paris-sud: "Some cases of the discriminant conjecture" -- Part II
4:15-4:30
Refreshments
4:30-5:45
Students (Vojta)
8:00-10:00
Q and A session (Olmec Room, Clarion Santa Rita Hotel)

Wednesday, March 18

8:30-9:00
Coffee
9:00-10:00
Math Education Workshop, "Tools to teach intuition" -- Part I
10:00-10:15
Refreshments
10:15-12:00
Math Education Workshop, "Tools to teach intuition" -- Part II
12:30-2:00
Lunch
Short Reports
2:00-2:25
Alexander Borisov, Penn State University: "On some polynomials allegedly related to the abc conjecture"
2:30-2:55
Julie Wang, Academia Sinica: "Some Diophantine Approximation Problems over Function Fields"
3:00-3:25
Florian Luca, Syracuse University: "On the equation xy+yx=zn " (joint work with M. Mignotte)
3:30-3:55
Machiel van Frankenhuysen, University of California, Riverside: "abc implies Roth's Theorem and Mordell's Conjecture"
4:00-4:25
Jing Yu, Academia Sinica: "On Ankeny-Artin-Chowla's conjecture and abc"
4:25-4:45
Refreshments
4:45-6:00
Students (Szpiro)
7:00
Banquet (Marriott Hotel)