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ADVANCED TOPICS IN ANALYSIS (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)
ADVANCED TOPICS IN ANALYSIS (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)Module n. 1 title: "Stability and instability for nonlinear Schrödinger equations on tori" Module n. 2
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LOGIC, HISTORY AND PEDAGOGY
▾ N : 1
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Course name | Note | Period | Time Table |
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ADVANCED TOPICS IN LOGIC, HISTORY AND PEDAGOGY( JOINT COURSE WITH SAPIENZA AND TOR VERGATA)
ADVANCED TOPICS IN LOGIC, HISTORY AND PEDAGOGY( JOINT COURSE WITH SAPIENZA AND TOR VERGATA)Module 1: Laboratorio di Didattica: | ||||
 
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ALGEBRA AND GEOMETRY
▾ N : 6
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Course name | Note | Period | Time Table |
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ADVANCED TOPICS IN ALGEBRA (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)
(to be defined) ADVANCED TOPICS IN ALGEBRA (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)Module n. 1 | ||||
 
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GEOMETRY OF MODULI OF VECTOR BUNDLES ON CURVES AND SPECIAL VARIETIES
(to be defined) GEOMETRY OF MODULI OF VECTOR BUNDLES ON CURVES AND SPECIAL VARIETIESDescription of the course | ||||
 
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ADVANCED TOPICS IN ALGEBRA AND GEOMETRY (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)
ADVANCED TOPICS IN ALGEBRA AND GEOMETRY (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)Module n. 1 Titlle: Factorization Homology Teacher: Paolo Salvatore (Univ. Tor Vergata)Period : Jan-Feb 2025 Abstract: Topological field theories, homology theories on varieties, commutative structures up to higher homotopies, factorization homology, factorization algebras, Hochschild homology, non abelian Poincaré duality Module n. 2 Title: Geometry of moduli of vector bundles on curves and special varieties |
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ABELIAN VARIETIES: GEOMETRY AND ARITHMETIC
Abelian varieties: geometry and arithmeticProgram: The main goal of the course is the study of the geometric and arithmetic properties of abelian varieties. More precisely the focus will be on abelian varieties as complex tori, group schemes, as well as some arithmetic aspects such as canonical heights and the Mordell-Weil Theorem. | Feb, April 2025 | |||
 
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TROPICAL METHODS IN MODULI THEORY AND ALGEBRAIC GEOMETRY
Tropical methods in moduli theory and algebraic geometryThe objective of the course is the application of recent techniques from tropical geometry to the study of moduli spaces of various nature, and to selected problems in algebraic geometry. The course will also introduce basic notions of classical moduli theory. | Feb-April 2025 | |||
 
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GEOMETRY OF ENRIQUES SURFACES
Geometry of Enriques SurfacesGeneral information for the course | semester I ( oct, nov 2024) |
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PROBABILITY AND MATHEMATICAL PHYSICS
▾ N : 2
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Course name | Note | Period | Time Table |
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ADVANCED TOPICS IN MATHEMATICAL PHYSICS (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)
ADVANCED TOPICS IN MATHEMATICAL PHYSICS (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)Module n. 1 | ||||
 
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GEOMETRY AND MECHANICS
Geometry and MechanicsThe goal of these lessons is to show the relashionships between Continuum Physics and Differential Geometry, starting from the fundamentals of Mechanics. In particular, we show how any typical theory of mathematical-physics is based on two layers: the physical layer – the phenomenon under investigation, and the mathematical model used to represent the physics. We shall discuss in detail some model problems, starting from the theoretical point of view, up to some noteworthy solutions; for each model, we shall show the dual role, mathematical and physical, of the notions that are used. Model problems will be selected together with the students, and chosen among: | Jan-Feb 2025 | |||
 
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NUMERICAL ANALYSIS AND INFORMATICS
▾ N : 1
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Course name | Note | Period | Time Table |
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ADVANCED TOPICS IN NUMERICAL ANALYSIS AND INFORMATICS (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)
ADVANCED TOPICS IN NUMERICAL ANALYSIS AND INFORMATICS (JOINT COURSE WITH SAPIENZA AND TOR VERGATA)Module n. 1 | ||||
 
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Institution | ||||||
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