Dinner Video - Celebrating the birthday of Maria del Carmen Romero Fuster
Download the video (113mb)Programme Workshop
Plenary talks are in yellow and will be held in the Auditorium Fernão.
Parallel sessions are in blue and will be held in: item 1 (Room 5.001), item 3 ( Room 5.003) and item 4 (Room 5.004) and will consist of 25 minute communications with 5 minutes for questions and changing room if it were the case. The conference official photograph will be on Wednesday at 12:20.
Poster sessions:
- Monday: Ady Cambraia Junior, Aldicio José Miranda, Alex Paulo Francisco, Luciana Martins, Camila Mariana Ruiz, Catarina Mendes de Jesus, Catiana Casonatto, Douglas Hilário da Cruz, Eliris Cristina Rizziolli, Elizabeth Ruth Salazar Flores, Esther Sanabria Codesal, Felipe de Jesus Mendez Varela, Gilberto Duarte Cuzzuol, Luis Renato Gonçalves Dias.
- Tuesday: Jean Venato Santos, Jimmy Rainer Tamara Albino, Jonny Ardila Ardila, Jorge Luiz Deolindo Silva, Michelle Ferreira Zanchetta Morgado, Mostafa Salarinoghabi, Nancy Carolina Chachapoyas Siesquen, Pedro Toniol Cardin, Rodrigo Mendes Pereira, Sabrina Tang Christensen, Taciana Oliveira Souza, Takashi Nishimura, Thais Maria Dalbelo.
Click here to download the schedule of Workshop on Real and Complex Singularities.
Click here to download the Book of Abstract.
Click here to see the list of chair(wo)men.
A walk in the world of perverse sheaves
Jean-Paul Brasselet. Institut de Mathématiques de Marseille (I2M) - CNRS and Aix-Marseille University
Abstract
Aim of the course will be to "demystify" the objects called "perverse sheaves", to show their usefulness and (some of) their applications.
Lecture 1: The first part of the walk will be "perverse". I will start slowly, like in a walk in the mountains, providing motivations, with the local calculus for intersection homology. I will provide examples and useful properties, letting time to enjoy the landscape.
Lecture 2: The second stage of the walk will be change of the landscape, going through sheaf theory. I will discuss basic results on sheaves and cohomology of sheaves. I will provide various definitions of perverse sheaves and their properties, still with examples.
Lecture 3: During the third part of the walk, I will discuss applications of perverse sheaves. According to the time (and the weather), I will take participants through the valleys of de Rham theorem, decomposition theorem, Morse theory, Lefschetz theorems, nearby and vanishing cycles (cf Lectures by David Massey the following week).
Programme School and Young Researchers
All mini-courses and public lectures will be held in the Auditorium Fernão. The Young Researcher's Days will consist of 20 minute talks. There will be 6 talks on Monday (Edwin Leon Cardenal, Felipe de Jesús Méndez Varela, Jane Lage Bretas, Toshifumi Fukui, Yutaro Kabata) and 4 on Friday (Jorge Alberto Coripaco Huarcaya, Miriam de Silva Pereira, Rodrigo Mendes Pereira, Ying Chen, Jorge Luiz Deolindo Silva). There will also be a poster session on Monday (Jonny Ardila Ardila, José Edson Sampaio, Mostafa Salarinoghabi, Nancy Chachapoyas Sesquien).
Click here to download the schedule of School on Singularity Theory.
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Analytic Classification of Plane Branches: An algebraic viewpoint
Marcelo Escudeiro (Universidade Estadual de Maringá, Paraná, Brazil)
Abstract
The purpose of this mini-course is to present analytic (and topological) invariants for analytic irreducible plane curves and algebraic methods to compute them.
In particular, we will describe normal forms for plane branches with respect to the analytical equivalence in a fixed topological class. -
Theory of wave front propagations and Lorentz differential geometry
Shyuichi Izumiya (Hokkaido University, Japan)
Abstract: click here
Schools notes for Tuesday and Wednesday and for the talk in the last week
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Non-isolated Hypersurface Singularities, Stratifications, and Lê Cycles
David B. Massey (Northeastern University, Boston, USA)
Abstract
Lecture 1: As an introduction, I will begin reviewing some of the classical results of Milnor from his 1968 book “Singular Points of Complex Hypersurfaces”. I will then discuss some basic results on Whitney stratifications and Thom a_f stratifications.
Lecture 2: I will discuss some basic results on complex and stratified Morse Theory, give a “new” proof of a result of Milnor for isolated hypersurface singularities, and prove Lê’s attaching result for non-isolated hypersurface singularities.
Lecture 3: I will discuss the basics of intersection theory for proper intersections inside a complex manifold, and define the Lê cycles of a non-isolated hypersurface singularity. I will discuss basic results on Lê cycles and numbers.
Lecture 4: I will continue the discussion of results on Lê cycles by looking at more advanced results. If time permits, I will informally define and discuss the complex of sheaves of vanishing cycles, and explain the connection with Lê cycles.Click here to download notes for the lectures.
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Milnor's fibration theorems revisited
José Seade (UNAM, Cuernavaca, Mexico) and Jose Luis Cisneros-Molina (Universidad Nacional Autónoma de Mexico)
Abstract
We'll revisit the classical fibration theorems of Milnor for real and complex singularities, looking at these from a modern point of view. This is based on results by various people, obtained through decades of research on the topic.Then we'll discuss some current trends of research on the subject. -
On a Riemann function
Márcio Soares
Abstract here
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Exotic shapes of nano-spherical structures
Stanislaw Janeczko (Polish Academy of Sciences)
Abstract
Imaginary approach to rational explanation since Pitagoras, Plato and Archimedes is discusses. The simplest naturally ordered sphere packings are described and their special chain and cluster forms are classified. This is applied to form nanoparticles with well-defined chemical compositions.
