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Page 1: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 2: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 3: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 4: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 5: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 6: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 7: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 8: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 9: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 10: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 11: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 12: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 13: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 14: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 15: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 16: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 17: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 18: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 19: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 20: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing

𝐶∗ 𝑈,𝑈 = 𝐻𝑜𝑚(𝑈⊗𝑛, 𝑈)

Page 21: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 22: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 23: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 24: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 25: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 26: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 27: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 28: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 29: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 30: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 31: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 32: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 33: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing

d d d d

Page 34: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing

d d d d

𝒔 = 𝒅−𝟏

s s s s

Page 35: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 36: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 37: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 38: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 39: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 40: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 41: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 42: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 43: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing
Page 44: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing

arXiv:0811.1655

arXiv:0709.3130

arXiv:math/0406502

X x

http://arxiv.org/abs/0811.1655
http://arxiv.org/abs/0709.3130
http://arxiv.org/abs/math/0406502
http://arxiv.org/abs/math/0406502
Page 45: PowerPoint Presentationhamilton.nuigalway.ie/HPT/kadeishvili.pdfAim: To enlarge the category of DG-algebras in order to have such a morphism. Is there a morphism (H (C), = inducing

Thank You

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