SEAMS School Calendar of Events:

 

LECTURES

Time

Mon, July 17

Tue, July 18

Wed, July 19

Thu, July 20

Fri, July 21

Mon, July 24

Tue, July 25

9:00-9:30

Opening Program

 

 

 

 

 

 

9:30-11:30

L1.

Elliptic curves over an arbitrary field (JD)

L4.

Projective space, the point at infinity and the group law (JD)

L7.

Descent and the weak Mordell-Weil Theorem (FP)

L10.

The Height Pairing/Fermat's infinite descent (FP)

L13.

Binary quadratic forms and quadratic fields (CL)

L16.

The Birch and Swinnerton-Dyer Conjecture (RC)

L19.

Galois representations of elliptic curves (JD)

11:30-1:00

LUNCH

1:00-3:00

L2.

Analytic functions: infinite products, order of an entire function, Schwarz Lemma (MW)

L5.

Isogenies and the j-invariant (JD)

L8.

The theory of heights and the Mordell-weil Theorem (FP)

L11.

The discrete logarithm problem on elliptic curves (JB)

L14.

Elliptic curves and quadratic fields (CL)

L17.

Congruent number elliptic curves and Tunnel's Theorem 1 (FN)

L20.

Computations on elliptic curves using PARI: A tutorial (JA)

(1pm-4pm)

3:00-3:30

BREAK

3:30-5:30

L3.

Analytic Theory of Elliptic Functions: Weierstrass sigma, zeta, ρ-functions; elliptic integrals (MW)

L6.

The torsion subgroup and the Nagell-Lutz Theorem (FP)

L9.

Counting points on an elliptic curve over a finite field (JB)

L12.

An introduction to elliptic curve cryptography (JB)

L15.

L-function of an elliptic curve (RC)

L18.

Congruent number elliptic curves and Tunnel's Theorem 2 (FN)

Closing Program
(4pm)

6:00-8:00

 

 

 School Dinner

 

 

 

 

PDF Version :  click here

Venue : University of the Philippines Diliman, Math Building Annex Room 306 (Third Floor)

Saturday, July 22 - Excursion (place will be announced soon)

Sunday, July 23 - Free Day

 

Lecturers

  1. Michel Waldschmidt (MW)
  2. Francesco Pappalardi (FP)
  3. Claude Levesque (CL)
  4. Fidel Nemenzo (FN)
  5. Julius Basilla (JB)
  6. Richell Celeste (RC)
  7. Jerome Dimabayao (JD) 
  8. Jared Guissmo Asuncion (JA)