Lecture Notes

 

 

1.   Homogeneous G-Structures,

Research Seminar of the Geometry Group, University of Salerno, June 2019:

Notes

 

2.   Foliated Cohomology,

PhD Course, University of Salerno, 2019:

Notes

 

3.   Differential Geometry and PDEs,

PhD Course, University of Salerno, 2018:

Notes

 

 

Selected Talks

 

 

4.   The Deformation cohomology of VB-algebroids,

Supergeometry, supersymmetry and quantization, University of Luxembourg, Luxembourg 2019:

Slides

 

5.   Products in Jacobi Geometry,

International Conference on Poisson Geometry, IMPA, Rio de Janeiro 2019:

Slides

Video*

 

*in the video I incorrectly state that the product of Poisson/Dirac manifolds is a product in the category of Poisson/Dirac manifolds with Poisson/forward Dirac maps. I thank Eckhard Meinrenked for pointing out this stupid mistake which, luckily, doesn’t affect the main discussion in the talk. In the slides at the link the mistake has been amended.

 

6.   The Symplectic-to-Contact Dictionary,

Friday Fish Seminar, Utrecht Geometry Center, Utrecht 2017:

Slides

 

7.   Homotopy Algebras and PDEs,

Lie Pseudogroups: Old and New, Driebergen 2017:

Slides

 

8.   The Deformation L-infinity algebroid of a Foliation,

Noncommutative Geometry and Higher Structures, Wuerzburg 2017:

Slides

 

9.   Multiplicative Derivations of VB Groupoids,

GAP Seminar, PSU, State College 2017:

Slides

 

10.                Holomorphic Jacobi Manifolds,

Joint Symplectic Seminar Cornell University - PSU, Ithaca 2017:

Slides

 

11.                L-algebroids and BV-algebras,

GAP XIV, Sheffield 2016:

Slides

 

12.                Generalized Geometry in Odd Dimensions,

Seminar “Geometrical Methods in Physics”, IMPAN, Warsaw 2016:

Slides

 

13.                Jacobi Manifolds and Their Coisotropics,

GAP Seminar, PSU, State College 2016:

Slides

 

14.                Dirac-Jacobi Bundles and Their Local Structure,

Poisson Geometry and Mathematical Physics, Tianjin 2016:

Slides

 

15.                Covariant Space + Time Splitting of Field Theories via -jets,

Variational Principles and Conservation Laws in General Relativity, Torino 2015:

Slides

 

16.                Vector Bundle Valued Differential Forms on NQ-manifolds,

Geometry of Jets and Fields, Bedlewo 2015:

Slides

 

17.                Higher Contact Geometry and L-algebras,

Working group on: Geometrical Mechanics and Field Theory, IMPAN, Warsaw 2014:

Slides

 

18.                Homotopy Lie Algebroids,

Geometry of PDEs and Integrability, Teplice nad Be_vou 2013:

Slides

 

19.                Mini-course on: Characteristics, Bicharacteristics, and Geometric Singularities of Solutions of PDEs,

XXII Fall Workshop on Geometry and Physics, vora 2013:

Lecture I - Slides

Lecture II - Slides

Lecture III - Slides