Registration for the courses until

To registere, click here!

We highlight that in the Summer School there will be the offer of 2 courses:

Besides the 2 courses, the minicourses and the inaugural class, the following

University and society

I Workshop for Improvement for Young Researchers (January 22, 2021)

I Workshop of Theses and Dissertations at UnB (January 25 to 27, 2021)

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http://www.mat.unb.br/verao2021/

Coordination of the XLIX Summer School MAT/UnB

Youtube broadcast link: https://youtu.be/54qpk5-_pMw

Keti Tenenblat

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# Complex Variable II

Differentiability.

Cauchy-Riemann equations.

Cauchy-Goursat theorem, Cauchy's integral formula.

Taylor and Laurent series.

Isolated singularities.

Poles and residues.

Applications.

Essential singularities.

Conformal mappings, Riemann's theorem.

Analytic continuation.

Entire and meromorphic functions.

2. Ahlfors L.; Complex Analysis, MC Graw-Hill/New York, 1972;

3. Hille E.; Analytic Function Theory, Adisson Wesley, 1971;

4. Rudin W.; Real and Complex Analysis, Graw-Hill/New York, 1968.

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# Linear Algebra II

2. Vector spaces.

3. Polynomials.

4. Primary decomposition.

5. Canonical form of Jordan.

6. Spectral theorem.

7. Inner product.

8. Multilinear forms – tensors.

2. Lang, Serge; Álgebra Linear; Ed. Ciência Moderna, 2003;

3. Halmos, P. Espaços Vetoriais de Dimensão Finita; Ed. Campus, 1978;

4. Lipschutz, S; Álgebra Linear; Ed. McGraw-Hill Makron Books 1994.

To register at the Summer Courses, you need to send your grade history of undergraduate to: verao.unb2021@gmail.com and fill the registration form that can be found at this link:

https://mat.unb.br/verao2021/verao/inscricao_verao_pt.html

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# Regularity theory: from PDEs to interfaces

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# Automata, languages and groups of automorphisms of rooted trees

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# Extremal parameters, Nehari manifold and PDEs

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# Superfícies mínimas e transições de fase

With a focus on geometric aspects of the Allen-Cahn equation, we will talk about some approaches to prove the existence of solutions and study their qualitative properties and discuss how the solutions of this equation (and its sets of zeros) approach minimal hypersurfaces, providing a useful approximation of the functional area.