INTERACTIONS OF HARMONIC ANALYSIS, COMBINATORICS AND NUMBER THEORY
CATEGORY THEORY
Email: jortega@ub.edu
Juanjo Rué (BGSMath/UPC)
Email: juan.jose.rue@upc.edu
Jorge Jímenez (BGSMath/UPC)
Email: jjimenez@ma4.upc.edu
Oriol Serra (BGSMath/UPC)
Email: juan.jose.rue@upc.edu
Pablo Candela (UAM)
Email: pablo.candela@uam.edu
Week 2: Juanjo Rué: Interactions of harmonic analysis and combinatorics
Week 3: Jorge Jímenez: Interactions of harmonic analysis and analytic number theory
Week 4: Oriol Serra i Pablo Candela: Interactions of harmonic analysis and combinatorial number theory
Summari
Contents
– Session 1 (2 hours, 15:30h-17:30h Tuesday 25/04, Main room IMUB): Introduction
– Session 2 (2 hours, 15:30h-17:30h, Wednesday 26/04, Room T2, UB): tilings on groups and Fuglede Conjecture
Week 2 (Juanjo Rué), 5 hours:
– Session 1 (2,5 hours, 15:30h-18:00h, Wednesday 3/05, Room T2, UB): Boolean functions
– Session 2 (2,5 hours, 16h:18:30h, Friday 5/05, Main Room IMUB): Further combinatorial results
Week 3 (Jorge Jiménez), 6 hours:
– Session 1 (2 hours,15:30h-17:30h, Monday 8/05, Main Room IMUB): Exponential sums
– Session 2 (2 hours, 15:30h-17:30h, Wednesday 10/05, Room T2, UB): The circle Method
– Session 3 (2 hours, 15:30h-17:30h, Friday 12/05, Main Room IMUB): Applications
Week 4 (Oriol Serra and Pablo Candela), 7 hours:
– Session 1 (2 hours,15:30h-17:30h, Monday 15/05, Main Room IMUB ) Roth Theorem (I)
– Session 2 (2 hours, 15:30h-17:30h, Wednesday 17/05 Room T2, UB) Roth Theorem (II) and Chang’s Lemma
– Session 3 (1,5 hours, 15:30-17:00 h), Thursday 18/05, Main Room IMUB) Higher order Fourier analysis: Gowers norms (I)
– Session 4 (1,5 hours, 15:30h-17:00h, Friday 19/05, Main Room IMUB) Higher order Fourier analysis: Gowers norms (II)