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Informal meeting 1: May 19 2-4pm INSCC 445 (probably)
We will discuss and plan the talk for May 28 which will concern various concepts about Monoidal Categories (see below for the references).

TALK 1: BASICS OF CATEGORY THEORY (Ren Pankovich) May 21 2-4pm
MacLane - Categories for the Working Mathematician, Chapter 1
Kassel - Quantum Groups, Chapter XI.1 - XI.2

TALK 2: BASICS OF CATEGORY THEORY (Ren Pankovich) May 26 2-4pm
MacLane - Categories for the Working Mathematician, Chapter 1
Kassel - Quantum Groups, Chapter XI.1 - XI.2

TALK 3: MONICS, EPIS, NULLS, AND ZEROS (Ren Pankovich) May 26 2-4pm
MacLane - Categories for the Working Mathematician, Chapter 1
Kassel - Quantum Groups, Chapter XI.1 - XI.2

TALK 4: NATURAL TRANSFORMATIONS (Ren Pankovich) June 2 2-4pm
MacLane - Categories for the Working Mathematician, Chapter 1
Kassel - Quantum Groups, Chapter XI.1 - XI.2

TALK 5: MONOIDAL CATEGORIES (Aaron Ballard) June 4 2-4pm
MacLane - Categories for the Working Mathematician, Chapter VII.1 - VII.3
Kassel - Quantum Groups, chapter XI.2 - XI.7
Joyal and Street - Braided Monoidal Categories section 1
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.1-4.2

TALK 6: EXERCISES IN MONOIDAL CATEGORIES (Aaron Ballard) June 9 2-4pm
MacLane - Categories for the Working Mathematician, Chapter VII.1 - VII.3
Kassel - Quantum Groups, chapter XI.2 - XI.7
Joyal and Street - Braided Monoidal Categories section 1
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.1-4.2

TALK 7: COHERENCE IN MONOIDAL CATEGORIES (Aaron Ballard) June 11 2-4pm
MacLane - Categories for the Working Mathematician, Chapter VII.1 - VII.3
Kassel - Quantum Groups, chapter XI.2 - XI.7
Joyal and Street - Braided Monoidal Categories section 1
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.1-4.2

TALK 8: COHERENCE IN MONOIDAL CATEGORIES II (Aaron Ballard) June 16 2-4pm
MacLane - Categories for the Working Mathematician, Chapter VII.1 - VII.3
Kassel - Quantum Groups, chapter XI.2 - XI.7
Joyal and Street - Braided Monoidal Categories section 1
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.1-4.2

TALK 9: COHERENCE IN MONOIDAL CATEGORIES III (Aaron Ballard) June 18 2-4pm
MacLane - Categories for the Working Mathematician, Chapter VII.1 - VII.3
Kassel - Quantum Groups, chapter XI.2 - XI.7
Joyal and Street - Braided Monoidal Categories section 1
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.1-4.2

TALK 10: BRAIDED MONOIDAL CATEGORIES (Yuting Hu) June 23 2-4pm
Turaev - Quantum Invariants of Knots and 3 Manifolds Section I.1.2
Bakalov and Kirillov - Lectures on Tensor Categories and Modular Functor Chapter 1
Kassel - Quantum Groups, chapter XIII
Joyal and Street - Braided Monoidal Categories section 2
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.3

TALK 11: BRAIDED MONOIDAL CATEGORIES (Yuting Hu) June 25 2-4pm
Turaev - Quantum Invariants of Knots and 3 Manifolds Section I.1.2
Bakalov and Kirillov - Lectures on Tensor Categories and Modular Functor Chapter 1
Kassel - Quantum Groups, chapter XIII
Joyal and Street - Braided Monoidal Categories section 2
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.3

TALK 12: THEOREMS IN BRAIDINGS (Yuting Hu) June 30 2-4pm
Turaev - Quantum Invariants of Knots and 3 Manifolds Section I.1.2
Bakalov and Kirillov - Lectures on Tensor Categories and Modular Functor Chapter 1
Kassel - Quantum Groups, chapter XIII
Joyal and Street - Braided Monoidal Categories section 2
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.3

TALK 13: THEOREMS IN BRAIDINGS (Yuting Hu) July 2 2-4pm
Turaev - Quantum Invariants of Knots and 3 Manifolds Section I.1.2
Bakalov and Kirillov - Lectures on Tensor Categories and Modular Functor Chapter 1
Kassel - Quantum Groups, chapter XIII
Joyal and Street - Braided Monoidal Categories section 2
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.3

TALK 14: CENTER CONSTRUCTION (Yuting Hu) July 9 2-4pm
Turaev - Quantum Invariants of Knots and 3 Manifolds Section I.1.2
Bakalov and Kirillov - Lectures on Tensor Categories and Modular Functor Chapter 1
Kassel - Quantum Groups, chapter XIII
Joyal and Street - Braided Monoidal Categories section 2
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.3

TALK 15: CENTER CONSTRUCTION (Yuting Hu) July 14 2-4pm
Turaev - Quantum Invariants of Knots and 3 Manifolds Section I.1.2
Bakalov and Kirillov - Lectures on Tensor Categories and Modular Functor Chapter 1
Kassel - Quantum Groups, chapter XIII
Joyal and Street - Braided Monoidal Categories section 2
Stirling - Abelian Chern-Simons with toral gauge group, modular tensor categories, and group categories, chapter 4.3

TALK 16: TENSOR STRUCTURES (Robert Roundy) July 16 2-4pm
Kassel - Quantum Groups, chapter II

TALK 17: TENSOR STRUCTURES (Robert Roundy) July 21 2-4pm
Kassel - Quantum Groups, chapter II

TALK 18: TENSOR STRUCTURES (Robert Roundy) July 23 2-4pm
Kassel - Quantum Groups, chapter II

TALK 19: UNIVERSALITY OF TENSOR STRUCTURES (Robert Roundy) July 28 2-4pm
Kassel - Quantum Groups, chapter II

TALK 20: PRODUCTS AND COPRODUCTS (Robert Roundy) July 30 2-4pm
Kassel - Quantum Groups, chapter II

TALK 21: RIGIDITY FOR VECTOR SPACES (Robert Roundy) August 4 2-4pm
Kassel - Quantum Groups, chapter II

TALK 22: RIGIDITY AND GRAPHICAL CALCULUS (Robert Roundy) August 6 2-4pm
Kassel - Quantum Groups, chapter XIV

FALL CONTINUATION

TALK 23: REVIEW OF SUMMER (Ren Pankovich) September 9 2-4pm

TALK 24: BALANCING (Ren Pankovich) September 16 2-4pm
Kassel - Quantum Groups, chapter XIV.3
Joyal and Street - Braided Tensor Categories section 6

TALK 25: BALANCING (Ren Pankovich) September 23 2-4pm
Kassel - Quantum Groups, chapter XIV.3
Joyal and Street - Braided Tensor Categories section 6

TALK 26: LEFT/RIGHT RIGIDITY ISOMORPHISMS (Ren Pankovich) October 7 2-4pm
Stirling and Wu - Braided Categorical Quantum Mechanics I
Kassel - Quantum Groups, chapter XIV.3
Joyal and Street - Braided Tensor Categories section 6

TALK 27: INTRO TO SEMISIMPLICITY (Robert Roundy) October 28 2-4pm
MacLane - Categories for the Working Mathematician Chapter III and Chapter VIII.2

TALK 28: BIPRODUCTS (Robert Roundy) November 4 2-4pm
MacLane - Categories for the Working Mathematician Chapter III and Chapter VIII.2

TALK 29: ABELIAN CATEGORIES (Robert Roundy) November 18 2-4pm
MacLane - Categories for the Working Mathematician Chapter III and Chapter VIII.2

TALK 30: MODULAR TENSOR CATEGORIES (Aaron Ballard) December 2 2-4pm
Turaev

TALK 31: MODULAR TENSOR CATEGORIES II (Aaron Ballard) December 9 2-4pm
Bakalov and Kirillov

SPRING 2010 CONTINUATION

TALK 32: QUANTUM 6J SYMBOLS (Spencer Stirling) January 21 2-3:30pm
Turaev Chapter VI

TALK 33: QUANTUM 6J SYMBOLS II (Spencer Stirling) January 26 2-3:30pm
Turaev Chapter VI

TALK 34: Z2 LATTICE GAUGE THEORY (Robert Roundy) February 9, 2010 2-3:30pm
Levin and Wen - arXiv:cond-mat/0404617v2 (2004)

TALK 35: LATTICE GAUGE THEORY PART II (Robert Roundy) February 16, 2010 2-3:30pm
Levin and Wen - arXiv:cond-mat/0404617v2 (2004)

TALK 36: INTRO TO STRING NETS (Robert Roundy) February 23, 2010 2-3:30pm
Levin and Wen - arXiv:cond-mat/0404617v2 (2004)

TALK 37: HAMILTONIANS FOR STRING NETS (Ren Pankovich) March 2, 2010 2-3:30pm
Levin and Wen - arXiv:cond-mat/0404617v2 (2004)

TALK 38: QUASIPARTICLE EXCITATIONS IN STRING NETS (Yuting Hu) March 9, 2010 2-3:30pm
Levin and Wen - arXiv:cond-mat/0404617v2 (2004)

TALK 39: QUASIPARTICLE EXCITATIONS IN STRING NETS II (Yuting Hu) March 11, 2010 2-3:30pm
Levin and Wen - arXiv:cond-mat/0404617v2 (2004)

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