Professor Nicolau Saldanha
Data de início: 03 de janeiro de 2024Término: 01 de março de 2024Horário: Segundas, quartas e sextas, das 10h às 13h.Presencial na sala L856 ou pelo zoom meeting
EMENTA:
MAT1605/MAT2614Turma 3ZB
Professor Sergey Galkin
Data de início: 03 de janeiro de 2024Horário: Sextas, das 11h às 13h.Sala: L863
• Idea and examples of topological invariants of quantum nature.• Topological and conformal quantum field theory.• Alexander, Jones and HOMFLY-PT polynomials of knots and links.• Vassiliev knot invariants and Kontsevich integral.• Chern–Simons and Wess–Zumino–Novikov–Witten theories.• Witten–Reshetikhin–Turaev invariants.• Khovanov homology, categorification.• Loops on surface: Goldman bracket and Turaev cobracket.• Mapping class group, monodromy of Knizhnik–Zamolodchikov connection.
MAT2725
Professor Lucas Castello Branco (Sergey Galkin)Data de início: 03 de janeiro de 2024Horário: Terças e quintas, das 13h às 16h. Sala: L863
MAT2425
Gauge Theory and moduli spaces: an introduction
Professor Sergey Sergeev
Data de início: 04 de janeiro de 2024Término: 27 de fevereiro de 2024Horário: Segundas e quartas, das 13h às 16h.Sala L863
1. 1D spectral problem for the Schrödinger equation and WKB substitution2. Representation near the turning points3. Definition of the Maslov’s Canonical Operator in 1D case4. 2D Cauchy problem for the surface linear wave propagation over non-uniform bottom 5. Pseudo-differential operators6. Definition of the Maslov’s Canonical Operator in 2D case7. Lagrangian manifold and elements of symplectic geometry8. Asymptotic description of the 2D surface wave
MAT2615Turma 3ZB
Introduction into Semi-Classical Analysis
ProfessoresDania Gonzalez MoralesEduardo Barbosa Pinheiro
Data de início: 16 de janeiro de 2024Término: 27 de janeiro de 2024(Dias 16, 17, 18, 19, 22, 23, 24, 25, 26 e 27)Horário: das 8h às 14h.Sala: L153 ou Lab L314
PMA 2021/MA 21