Workshop on Diophantine Approximation


$Lorentz Center$ Workshop Diophantine Approximation Program

Pdf-file with submitted abstracts
Postscript-file with submitted abstracts

All lectures of the workshop take place in room 201 of the Lorentz Center.
(Practical details are at the bottom of this page .)

Monday July 28

09:30-10:15 Registration in Common Room

10:15-10:45 T. Rivoal (Caen): Multiple integrals and multi-polylogarithms.

10:45-11:15 Coffee break

11:15-11:45 V. Zudilin (Köln): New irrationality measures for q-logarithms.

11:45-12:15 P. Bundschuh (Köln): Algebraic independence of elements from C_p over Q_p.

12:30-13:30 Lunch

15:00-15:45 T.N. Shorey (Bombay): A conjecture of Erdös on powers in products of integers in
arithmetic progression.

15:45-16:00 Tea break

16:00-16:30 L. Hajdu (Debrecen): Almost perfect powers in products of consecutive terms
from an arLithmetic progression.

16:30-17:00 Yu. Bilu (Bordeaux): Erdös-Selfridge translated.

17:00-19:00 Wine and Cheese party in the Common Room

Tuesday July 29

09:30-10:15 Yu. Nesterenko (Moscow): Multiplicity estimates in transcendence theory.

10:25-10:55 K. Yu (Hong Kong): New progress in the theory of p-adic logarithmic forms.

10:55-11:15 Coffee break

11:15-11:45 N. Hirata-Kohno (Tokyo): Linear forms in p-adic elliptic logarithms.

11:45-12:15 A.J. van der Poorten (Killara): Continued fractions and multiples of a point on an
elliptic curve.

12:30-13:30 Lunch

15:15-15:45 N. Bruin (Sydney): Smooth plane quartics and the arithmetic of their
Prym varieties.

15:45-16:15 D. Roy (Ottawa): Approximation to real numbers by cubic algebraic integers.

16:15-16:30 Tea break

16:30-17:00 Y. Bugeaud (Strasbourg): Exponents of Diophantine approximation.

17:00-17:30 M. Laurent (Marseille): Diophantine properties of Sturmian type numbers.

Wednesday July 30

Special symposium in honour of Robert Tijdeman (De Sitter lecture hall)

Evening: Conference dinner

Restaurant De Engelberthahoeve (Hoge Morsweg 140) Leiden

Thursday July 31

09:30-10:15 K. Györy (Debrecen): On the Diophantine equation 1^k+...+x^k=yⁿ.

10:25-10:55 Cs. Rakaczki (Debrecen): On the Diophantine equation F(bin(x,n))=b.bin(y,m).

10:55-11:15 Coffee break

11:15-11:45 C. Fuchs (Graz): Diophantine inequalities involving several power sums.

11:45-12:15 P. Corvaja (Udine): On a generalization of the Subspace Theorem and a
generalization of Thue equations.

12:30-13:30 Lunch

Thursday afternoon is free.

Friday August 1

09:30-10:15 M. Ru (Houston): Diophantine approximation and Nevanlinna theory.

10:25-10:55 G. Rémond (Grenoble): Intersecting curves and algebraic groups.

10:55-11:15 Coffee break

11:15-11:45 S. David (Paris): On the heights of points on subvarieties of multiplicative
groups.

11:45-12:15 A. Pethö (Debrecen): Application of decomposable form functions in cryptography.

12:30-13:30 Lunch

15:15-15:45 R. Okazaki (Kyotanabe): A sharp upper bound on the numbers of solutions of
certain quartic Thue equations.

15:45-16:15 A. Biró (Budapest): Zeta functions for ideal classes of real quadratic
fields at s=0.

16:15-16:30 Tea break

16:30-17:00 P. Olajos (Debrecen): Recent results on power integral bases of composite fields.

17:00-17:30 I. Jarasi (Debrecen): Computing the small solutions of unit equations with
an application to resultant form equations.

Saturday August 2

09:30-10:15 D. Brownawell (University Park): Independence over function fields.

10:25-10:55 A. Bérczes (Debrecen): On the number of equivalence classes of binary forms
with given discriminant and degree.

10:55-11:15 Coffee break

11:15-11:45 A. Schinzel (Warsaw): On vectors whose span contains a given linear subspace.

11:45-12:15 M. Bennett (Vancouver): Rational torsion subgroups of elliptic curves in
short Weierstrass form.

12:30-13:30 Lunch at hotel `Het Witte Huis' in Oegstgeest

Saturday afternoon is free.

Lecture room 201 is on floor 2 (third floor in English counting...) of the Lorentz Center.
The De Sitter lecture hall is on the ground floor.
Registration and social activities are in the Common Room of the Lorentz Center (floor 3).
Coffee breaks are also in the Common Room.
Lunches are in the canteen on the ground floor of the Oort Building (unless stated otherwise).
The Lorentz Center is on floor 3 of the Oort Building.

Last modified on .

Monday July 28

09:30-10:15	Registration in Common Room
10:15-10:45	T. Rivoal (Caen):	Multiple integrals and multi-polylogarithms.
10:45-11:15	Coffee break
11:15-11:45	V. Zudilin (Köln):	New irrationality measures for q-logarithms.
11:45-12:15	P. Bundschuh (Köln):	Algebraic independence of elements from C_p over Q_p.

12:30-13:30	Lunch
15:00-15:45	T.N. Shorey (Bombay):	A conjecture of Erdös on powers in products of integers in arithmetic progression.
15:45-16:00	Tea break
16:00-16:30	L. Hajdu (Debrecen):	Almost perfect powers in products of consecutive terms from an arLithmetic progression.
16:30-17:00	Yu. Bilu (Bordeaux):	Erdös-Selfridge translated.

17:00-19:00	Wine and Cheese party in the Common Room


Tuesday July 29

09:30-10:15	Yu. Nesterenko (Moscow):	Multiplicity estimates in transcendence theory.
10:25-10:55	K. Yu (Hong Kong):	New progress in the theory of p-adic logarithmic forms.
10:55-11:15	Coffee break
11:15-11:45	N. Hirata-Kohno (Tokyo):	Linear forms in p-adic elliptic logarithms.
11:45-12:15	A.J. van der Poorten (Killara):	Continued fractions and multiples of a point on an elliptic curve.

12:30-13:30	Lunch

15:15-15:45	N. Bruin (Sydney):	Smooth plane quartics and the arithmetic of their Prym varieties.
15:45-16:15	D. Roy (Ottawa):	Approximation to real numbers by cubic algebraic integers.
16:15-16:30	Tea break
16:30-17:00	Y. Bugeaud (Strasbourg):	Exponents of Diophantine approximation.
17:00-17:30	M. Laurent (Marseille):	Diophantine properties of Sturmian type numbers.


Wednesday July 30

Special symposium in honour of Robert Tijdeman (De Sitter lecture hall)
Evening:	Conference dinner
Restaurant	De Engelberthahoeve (Hoge Morsweg 140)	Leiden
Thursday July 31

09:30-10:15	K. Györy (Debrecen):	On the Diophantine equation 1^k+...+x^k=yⁿ.
10:25-10:55	Cs. Rakaczki (Debrecen):	On the Diophantine equation F(bin(x,n))=b.bin(y,m).
10:55-11:15	Coffee break
11:15-11:45	C. Fuchs (Graz):	Diophantine inequalities involving several power sums.
11:45-12:15	P. Corvaja (Udine):	On a generalization of the Subspace Theorem and a generalization of Thue equations.

12:30-13:30	Lunch
Thursday afternoon is free.
Friday August 1
09:30-10:15	M. Ru (Houston):	Diophantine approximation and Nevanlinna theory.
10:25-10:55	G. Rémond (Grenoble):	Intersecting curves and algebraic groups.
10:55-11:15	Coffee break
11:15-11:45	S. David (Paris):	On the heights of points on subvarieties of multiplicative groups.
11:45-12:15	A. Pethö (Debrecen):	Application of decomposable form functions in cryptography.

12:30-13:30	Lunch
15:15-15:45	R. Okazaki (Kyotanabe):	A sharp upper bound on the numbers of solutions of certain quartic Thue equations.
15:45-16:15	A. Biró (Budapest):	Zeta functions for ideal classes of real quadratic fields at s=0.
16:15-16:30	Tea break
16:30-17:00	P. Olajos (Debrecen):	Recent results on power integral bases of composite fields.
17:00-17:30	I. Jarasi (Debrecen):	Computing the small solutions of unit equations with an application to resultant form equations.

Saturday August 2

09:30-10:15	D. Brownawell (University Park):	Independence over function fields.
10:25-10:55	A. Bérczes (Debrecen):	On the number of equivalence classes of binary forms with given discriminant and degree.
10:55-11:15	Coffee break
11:15-11:45	A. Schinzel (Warsaw):	On vectors whose span contains a given linear subspace.
11:45-12:15	M. Bennett (Vancouver):	Rational torsion subgroups of elliptic curves in short Weierstrass form.

12:30-13:30	Lunch at hotel `Het Witte Huis' in Oegstgeest

Saturday afternoon is free. Lecture room 201 is on floor 2 (third floor in English counting...) of the Lorentz Center. The De Sitter lecture hall is on the ground floor. Registration and social activities are in the Common Room of the Lorentz Center (floor 3). Coffee breaks are also in the Common Room. Lunches are in the canteen on the ground floor of the Oort Building (unless stated otherwise). The Lorentz Center is on floor 3 of the Oort Building.