Rio de Janeiro, May 22, Carolina Araujo Organizing Committee

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1 We hereby certify that, Anne-Sophie Kaloghiros, Brunel University London, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: The Sarkisov program for Mori fibered lc Calabi-Yau pairs

2 We hereby certify that, Jorge Vitório Bacellar dos Santos Pereira, Instituto Nacional de Matemática Pura e Aplicada, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: Classification of foliations I and II

3 We hereby certify that, Kenneth Ascher, Brown University, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: A fibered power theorem for pairs of log general type

4 We hereby certify that, Maria Pe Pereira, Consejo Superior de Investigaciones Cientificas, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: Generalized Nash problem for surfaces

5 We hereby certify that, Mircea Mustata, University of Michigan, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: (1) Introduction to spaces of arcs (2)Valuations on smooth varieties via spaces of arcs

6 We hereby certify that, Paolo Cascini, Imperial College London, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: (1) MMP - an introduction (2)Toroidal modification

7 We hereby certify that, Piotr Pragacz, Institute of Mathemaics, Polish Academy of Sciences, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: On diagonals of flag bundles

8 We hereby certify that, Roi Docampo Alvarez, Consejo Superior de Investigaciones Cientificas, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: Terminal Valuations and the Nash problem

9 We hereby certify that, Stefan Kebekus, Universitat Freiburg - Freiburg - Alemanha, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: The singularities of the MMP, flatness, and the decomposition of varieties I and II

10 We hereby certify that, Vladimir Lazic, Universität Bonn, participated in the Workshop on Higher Dimensional Algebraic Geometry - Thematic Program on Algebraic Geometry, held at Instituto Nacional de Matemática Pura e Aplicada IMPA, Rio de Janeiro, from May 18 to 22, 2015 and presented the following work: (1) MMP - New outlook (2) Abundance and beyond