ࡱ > , . + ` R bjbj 2 8 8 8 8 8 8 8 L L K n $ h ! B ! 8 : : : 8 8 ^ ^ ^ : 8 8 ^ : ^ ^ 8 8 ^ nrh . ^ 0 K ^ c & . c ^ c 8 ^ ` ^ q T K : : : : L L L L L L L L L 8 8 8 8 8 8 M o d u l a r R e p r e s e n t a t i o n s o f C y c l o t o m i c H e c k e A l g e b r a s bJTN\Yec A b s t r a c t I n t h i s t a l k , I w i l l f i r s t g i v e a b r i e f r e v i e w o n t h e m o d u l a r r e p r e s e n t a t i o n s o f t h e c y c l o t o m i c H e c k e a l g e b r a o f t y p e G ( r , 1 , n ) . T h e s e w i l l i n c l u d e D i p p e r - J a m e s - M a t h a s ' s S p e c h t m o d u l e t h eory, Dipper-Mathas's Morita equivalence theorem, Lascoux- Leclerc-Thibon-Ariki's theory on decomposition numbers, etc. Then I will talk about modular representation of the cyclotomic Hecke algebra of type G(r,p,n) (where 1