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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

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

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

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

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

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

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

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

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

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